GCD of 772, 659, 315, 748 Calculator

Given Input numbers are 772, 659, 315, 748

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

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 659 :

The positive integer divisors of 659 that completely divides 659 are.

1, 659

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (772, 659, 315, 748) = 1.

Given numbers are 772, 659, 315, 748

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 659 are 659

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 748 are 2 x 2 x 11 x 17

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

Given numbers are 772, 659, 315, 748

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

Apply this formula for all numbers.

Step1:

LCM(772, 659) = 508748

GCD(772, 659) = ( 772 x 659 ) / 508748

= 772 / 659

= 772

Step2:

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

= 1 / 315

= 1

Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

So, Greatest Common Divisor of 772, 659, 315, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 717, 271, 617, 909
• GCD of 661, 502, 906, 971
• GCD of 935, 710, 823, 752
• GCD of 380, 658, 126, 496
• GCD of 896, 965, 414, 585

Given numbers are 772, 659, 315, 748
The greatest common divisor of numbers 772, 659, 315, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 659, 315, 748 is 1.

1. What is the GCD of 772, 659, 315, 748?

GCD of given numbers 772, 659, 315, 748 is 1

2. How to calculate the greatest common divisor of 772, 659, 315, 748?

We can find the highest common divisor of 772, 659, 315, 748 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 772, 659, 315, 748 i.e 1.

3. How can I use the GCD of 772, 659, 315, 748Calculator?

Out the numbers 772, 659, 315, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.