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GCD of 964, 314, 962, 940 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 964, 314, 962, 940 quickly. Get the easiest ways to solve the greatest common divisor of 964, 314, 962, 940 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 964, 314, 962, 940 with Factoring?

Given Input numbers are 964, 314, 962, 940

In the factoring method, we have to find the divisors of all numbers

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940


GCD of numbers is the greatest common divisor

So, the GCD (964, 314, 962, 940) = 2.

Find GCD of 964, 314, 962, 940 using Prime Factorization

Given numbers are 964, 314, 962, 940

The list of prime factors of all numbers are

Prime factors of 964 are 2 x 2 x 241

Prime factors of 314 are 2 x 157

Prime factors of 962 are 2 x 13 x 37

Prime factors of 940 are 2 x 2 x 5 x 47

The highest common occurrence is 21

Therefore, GCD of 964, 314, 962, 940 is 2.

Steps to Calculate GCD of 964, 314, 962, 940 using LCM Formula

Given numbers are 964, 314, 962, 940

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(964, 314) = 151348

GCD(964, 314) = ( 964 x 314 ) / 151348

= 964 / 314

= 964


Step2:

LCM(2, 962) = 962

GCD(2, 962) = ( 2 x 962 ) / 962

= 2 / 962

= 2


Step3:

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

= 2 / 940

= 2


So, Greatest Common Divisor of 964, 314, 962, 940 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 964, 314, 962, 940

Given numbers are 964, 314, 962, 940
The greatest common divisor of numbers 964, 314, 962, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 964, 314, 962, 940 is 2.

FAQs on GCD of 964, 314, 962, 940 Calculator

1. What is the GCD of 964, 314, 962, 940?

GCD of given numbers 964, 314, 962, 940 is 2


2. How to calculate the greatest common divisor of 964, 314, 962, 940?

We can find the highest common divisor of 964, 314, 962, 940 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 964, 314, 962, 940 i.e 2.


3. How can I use the GCD of 964, 314, 962, 940Calculator?

Out the numbers 964, 314, 962, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.