GCD of 756, 308, 531, 712 Calculator

Given Input numbers are 756, 308, 531, 712

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 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 531 :

The positive integer divisors of 531 that completely divides 531 are.

1, 3, 9, 59, 177, 531

Divisors of 712 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (756, 308, 531, 712) = 1.

Given numbers are 756, 308, 531, 712

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 308 are 2 x 2 x 7 x 11

Prime factors of 531 are 3 x 3 x 59

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

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

Given numbers are 756, 308, 531, 712

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

Apply this formula for all numbers.

Step1:

LCM(756, 308) = 8316

GCD(756, 308) = ( 756 x 308 ) / 8316

= 756 / 308

= 756

Step2:

LCM(28, 531) = 14868

GCD(28, 531) = ( 28 x 531 ) / 14868

= 28 / 531

= 28

Step3:

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

= 1 / 712

= 1

So, Greatest Common Divisor of 756, 308, 531, 712 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 318, 305, 691, 155
• GCD of 977, 949, 693, 522
• GCD of 553, 816, 681, 904
• GCD of 576, 178, 262, 946
• GCD of 293, 992, 998, 235

Given numbers are 756, 308, 531, 712
The greatest common divisor of numbers 756, 308, 531, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 308, 531, 712 is 1.

1. What is the GCD of 756, 308, 531, 712?

GCD of given numbers 756, 308, 531, 712 is 1

2. How to calculate the greatest common divisor of 756, 308, 531, 712?

We can find the highest common divisor of 756, 308, 531, 712 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, 308, 531, 712 i.e 1.

3. How can I use the GCD of 756, 308, 531, 712Calculator?

Out the numbers 756, 308, 531, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.