GCD of 676, 456, 264, 956 Calculator

Given Input numbers are 676, 456, 264, 956

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

GCD of numbers is the greatest common divisor

So, the GCD (676, 456, 264, 956) = 4.

Given numbers are 676, 456, 264, 956

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 956 are 2 x 2 x 239

The highest common occurrence is 2²

Therefore, GCD of 676, 456, 264, 956 is 4.

Given numbers are 676, 456, 264, 956

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

Apply this formula for all numbers.

Step1:

LCM(676, 456) = 77064

GCD(676, 456) = ( 676 x 456 ) / 77064

= 676 / 456

= 676

Step2:

LCM(4, 264) = 264

GCD(4, 264) = ( 4 x 264 ) / 264

= 4 / 264

= 4

Step3:

LCM(4, 956) = 956

GCD(4, 956) = ( 4 x 956 ) / 956

= 4 / 956

= 4

So, Greatest Common Divisor of 676, 456, 264, 956 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 670, 877, 548
• GCD of 597, 904, 894, 703
• GCD of 160, 794, 800, 974
• GCD of 946, 796, 621, 855
• GCD of 776, 547, 506, 727

Given numbers are 676, 456, 264, 956
The greatest common divisor of numbers 676, 456, 264, 956 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 456, 264, 956 is 4.

1. What is the GCD of 676, 456, 264, 956?

GCD of given numbers 676, 456, 264, 956 is 4

2. How to calculate the greatest common divisor of 676, 456, 264, 956?

We can find the highest common divisor of 676, 456, 264, 956 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 676, 456, 264, 956 i.e 4.

3. How can I use the GCD of 676, 456, 264, 956Calculator?

Out the numbers 676, 456, 264, 956 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.