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GCD of 762, 438, 987, 656 Calculator

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


Online GCD Calculator is useful to find the GCD of 762, 438, 987, 656 quickly. Get the easiest ways to solve the greatest common divisor of 762, 438, 987, 656 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 762, 438, 987, 656 with Factoring?

Given Input numbers are 762, 438, 987, 656

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

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656


GCD of numbers is the greatest common divisor

So, the GCD (762, 438, 987, 656) = 1.

Find GCD of 762, 438, 987, 656 using Prime Factorization

Given numbers are 762, 438, 987, 656

The list of prime factors of all numbers are

Prime factors of 762 are 2 x 3 x 127

Prime factors of 438 are 2 x 3 x 73

Prime factors of 987 are 3 x 7 x 47

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 762, 438, 987, 656 using LCM Formula

Given numbers are 762, 438, 987, 656

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

Apply this formula for all numbers.

Step1:

LCM(762, 438) = 55626

GCD(762, 438) = ( 762 x 438 ) / 55626

= 762 / 438

= 762


Step2:

LCM(6, 987) = 1974

GCD(6, 987) = ( 6 x 987 ) / 1974

= 6 / 987

= 6


Step3:

LCM(3, 656) = 1968

GCD(3, 656) = ( 3 x 656 ) / 1968

= 3 / 656

= 3


So, Greatest Common Divisor of 762, 438, 987, 656 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 762, 438, 987, 656

Given numbers are 762, 438, 987, 656
The greatest common divisor of numbers 762, 438, 987, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 438, 987, 656 is 1.

FAQs on GCD of 762, 438, 987, 656 Calculator

1. What is the GCD of 762, 438, 987, 656?

GCD of given numbers 762, 438, 987, 656 is 1


2. How to calculate the greatest common divisor of 762, 438, 987, 656?

We can find the highest common divisor of 762, 438, 987, 656 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 762, 438, 987, 656 i.e 1.


3. How can I use the GCD of 762, 438, 987, 656Calculator?

Out the numbers 762, 438, 987, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.