GCD of 978, 504, 596, 656 Calculator

Given Input numbers are 978, 504, 596, 656

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

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

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 (978, 504, 596, 656) = 2.

Given numbers are 978, 504, 596, 656

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 596 are 2 x 2 x 149

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

The highest common occurrence is 2¹

Therefore, GCD of 978, 504, 596, 656 is 2.

Given numbers are 978, 504, 596, 656

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

Apply this formula for all numbers.

Step1:

LCM(978, 504) = 82152

GCD(978, 504) = ( 978 x 504 ) / 82152

= 978 / 504

= 978

Step2:

LCM(6, 596) = 1788

GCD(6, 596) = ( 6 x 596 ) / 1788

= 6 / 596

= 6

Step3:

LCM(2, 656) = 656

GCD(2, 656) = ( 2 x 656 ) / 656

= 2 / 656

= 2

So, Greatest Common Divisor of 978, 504, 596, 656 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 249, 844, 950
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• GCD of 755, 994, 579, 668
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Given numbers are 978, 504, 596, 656
The greatest common divisor of numbers 978, 504, 596, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 504, 596, 656 is 2.

1. What is the GCD of 978, 504, 596, 656?

GCD of given numbers 978, 504, 596, 656 is 2

2. How to calculate the greatest common divisor of 978, 504, 596, 656?

We can find the highest common divisor of 978, 504, 596, 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 978, 504, 596, 656 i.e 2.

3. How can I use the GCD of 978, 504, 596, 656Calculator?

Out the numbers 978, 504, 596, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.