GCD of 968, 714, 42 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 968, 714, 42 quickly. Get the easiest ways to solve the greatest common divisor of 968, 714, 42 i.e 2 in different methods as follows.
Given Input numbers are 968, 714, 42
In the factoring method, we have to find the divisors of all numbers
Divisors of 968 :
The positive integer divisors of 968 that completely divides 968 are.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 42 :
The positive integer divisors of 42 that completely divides 42 are.
1, 2, 3, 6, 7, 14, 21, 42
GCD of numbers is the greatest common divisor
So, the GCD (968, 714, 42) = 2.
Given numbers are 968, 714, 42
The list of prime factors of all numbers are
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 42 are 2 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 968, 714, 42 is 2.
Steps to Calculate GCD of 968, 714, 42 using LCM Formula
Given numbers are 968, 714, 42
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(968, 714) = 345576
GCD(968, 714) = ( 968 x 714 ) / 345576
= 968 / 714
= 968
Step2:
LCM(2, 42) = 42
GCD(2, 42) = ( 2 x 42 ) / 42
= 2 / 42
= 2
So, Greatest Common Divisor of 968, 714, 42 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 968, 714, 42
Given numbers are 968, 714, 42
The greatest common divisor of numbers 968, 714, 42 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 968, 714, 42 is 2.
FAQs on GCD of 968, 714, 42 Calculator
1. What is the GCD of 968, 714, 42?
GCD of given numbers 968, 714, 42 is 2
2. How to calculate the greatest common divisor of 968, 714, 42?
We can find the highest common divisor of 968, 714, 42 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 968, 714, 42 i.e 2.
3. How can I use the GCD of 968, 714, 42Calculator?
Out the numbers 968, 714, 42 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.