GCD of 756, 768, 832, 956 Calculator

Given Input numbers are 756, 768, 832, 956

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

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 (756, 768, 832, 956) = 4.

Given numbers are 756, 768, 832, 956

The list of prime factors of all numbers are

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 956 are 2 x 2 x 239

The highest common occurrence is 2²

Therefore, GCD of 756, 768, 832, 956 is 4.

Given numbers are 756, 768, 832, 956

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

Apply this formula for all numbers.

Step1:

LCM(756, 768) = 48384

GCD(756, 768) = ( 756 x 768 ) / 48384

= 756 / 768

= 756

Step2:

LCM(12, 832) = 2496

GCD(12, 832) = ( 12 x 832 ) / 2496

= 12 / 832

= 12

Step3:

LCM(4, 956) = 956

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

= 4 / 956

= 4

So, Greatest Common Divisor of 756, 768, 832, 956 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 337, 264, 278
• GCD of 927, 707, 840, 164
• GCD of 611, 238, 550, 211
• GCD of 130, 579, 419, 597
• GCD of 128, 765, 247, 885

Given numbers are 756, 768, 832, 956
The greatest common divisor of numbers 756, 768, 832, 956 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 768, 832, 956 is 4.

1. What is the GCD of 756, 768, 832, 956?

GCD of given numbers 756, 768, 832, 956 is 4

2. How to calculate the greatest common divisor of 756, 768, 832, 956?

We can find the highest common divisor of 756, 768, 832, 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 756, 768, 832, 956 i.e 4.

3. How can I use the GCD of 756, 768, 832, 956Calculator?

Out the numbers 756, 768, 832, 956 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.