What is the HCF of 7 14 and 3?
In arithmetic, the LCM or least common multiple of two numbers a and b, is denoted as LCM (a,b) is the smallest or least positive integer that is divisible by both a and b. Show
LCM is also called the Least Common Divisor Example:
How to find LCM?There are 3 methods to find the least common multiple of two numbers.
1. LCM by Listing Method:We can find out the common multiples of two or more numbers by listing their multiples. And out of these common multiples and the least common multiple is considered to be the LCM of two given numbers . Follow the steps below to calculate the LCM of the two numbers A and B by the listing method:
Example:
2. LCM by Division Method:We can find LCM using Division method of the given numbers. This can be done by dividing the numbers by a common prime number, and these prime factors are used to calculate the LCM of those numbers. Follow the steps below to calculate the LCM of the two numbers A and B by Division Method:
Example:
3. LCM by Prime Factorization Method:We can find LCM using Prime factorization method of the given numbers. Follow the steps below to calculate the LCM of two numbers using the prime factorization method:
Example:
What is HCF (Highest Common Factor)?
How to find HCF?There are 3 methods to calculate the HCF of two numbers:
1. HCF by Listing Factors MethodHere, we list the factors of each number and find the common factors of those numbers. Then, among the common factors, we determine the highest common factor. Example:
2. HCF by Prime FactorizationWe can find HCF using Prime factorization method of the given numbers. Follow the steps below to calculate the HCF of given numbers using the prime factorization method:
Example:
3. HCF by Division MethodThe HCF of two numbers can be calculated using the division method. Follow the steps below to calculate the HCF of given numbers using the Division Method
Example:
Sample Problems on LCM and HCF:
Problem on HCF and LCM | Set-2
This article has been contributed by Nishant Arora. Please write comments if you have any doubts related to the topic discussed above, or you are facing difficulty in any question or if you would like to discuss a question other than those mentioned above. Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above. What is the HCF of 7 and 14?FAQs on GCF of 7 and 14
The GCF of 7 and 14 is 7. To calculate the greatest common factor (GCF) of 7 and 14, we need to factor each number (factors of 7 = 1, 7; factors of 14 = 1, 2, 7, 14) and choose the greatest factor that exactly divides both 7 and 14, i.e., 7.
What is the HCF of 3 and 7?The HCF of 3 and 7 is 1. To calculate the HCF of 3 and 7, we need to factor each number (factors of 3 = 1, 3; factors of 7 = 1, 7) and choose the highest factor that exactly divides both 3 and 7 . i.e. 1.
What is the HCF of 7 14 and 21?The LCM of 7, 14 and 21 is 42 and the HCF of 7 14 and 21 is 7.
What is the HCF of 7 14 and 49?There are 2 common factors of 14 and 49, that are 1 and 7. Therefore, the greatest common factor of 14 and 49 is 7.
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