GCD of 712, 756, 572, 708 Calculator

Given Input numbers are 712, 756, 572, 708

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

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

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 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

GCD of numbers is the greatest common divisor

So, the GCD (712, 756, 572, 708) = 4.

Given numbers are 712, 756, 572, 708

The list of prime factors of all numbers are

Prime factors of 712 are 2 x 2 x 2 x 89

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

Prime factors of 572 are 2 x 2 x 11 x 13

Prime factors of 708 are 2 x 2 x 3 x 59

The highest common occurrence is 2²

Therefore, GCD of 712, 756, 572, 708 is 4.

Given numbers are 712, 756, 572, 708

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

Apply this formula for all numbers.

Step1:

LCM(712, 756) = 134568

GCD(712, 756) = ( 712 x 756 ) / 134568

= 712 / 756

= 712

Step2:

LCM(4, 572) = 572

GCD(4, 572) = ( 4 x 572 ) / 572

= 4 / 572

= 4

Step3:

LCM(4, 708) = 708

GCD(4, 708) = ( 4 x 708 ) / 708

= 4 / 708

= 4

So, Greatest Common Divisor of 712, 756, 572, 708 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 462, 473, 488, 342
• GCD of 815, 236, 121, 566
• GCD of 317, 462, 712, 251
• GCD of 268, 985, 537, 974
• GCD of 655, 813, 368, 635

Given numbers are 712, 756, 572, 708
The greatest common divisor of numbers 712, 756, 572, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 756, 572, 708 is 4.

1. What is the GCD of 712, 756, 572, 708?

GCD of given numbers 712, 756, 572, 708 is 4

2. How to calculate the greatest common divisor of 712, 756, 572, 708?

We can find the highest common divisor of 712, 756, 572, 708 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 712, 756, 572, 708 i.e 4.

3. How can I use the GCD of 712, 756, 572, 708Calculator?

Out the numbers 712, 756, 572, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.