GCD of 296, 637, 756, 825 Calculator

Given Input numbers are 296, 637, 756, 825

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

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 637 :

The positive integer divisors of 637 that completely divides 637 are.

1, 7, 13, 49, 91, 637

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 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (296, 637, 756, 825) = 1.

Given numbers are 296, 637, 756, 825

The list of prime factors of all numbers are

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 637 are 7 x 7 x 13

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

Prime factors of 825 are 3 x 5 x 5 x 11

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

Given numbers are 296, 637, 756, 825

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

Apply this formula for all numbers.

Step1:

LCM(296, 637) = 188552

GCD(296, 637) = ( 296 x 637 ) / 188552

= 296 / 637

= 296

Step2:

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

= 1 / 756

= 1

Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 296, 637, 756, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 727, 887, 362, 877
• GCD of 975, 404, 321, 206
• GCD of 622, 792, 802, 186
• GCD of 392, 538, 822, 549
• GCD of 627, 850, 211, 560

Given numbers are 296, 637, 756, 825
The greatest common divisor of numbers 296, 637, 756, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 637, 756, 825 is 1.

1. What is the GCD of 296, 637, 756, 825?

GCD of given numbers 296, 637, 756, 825 is 1

2. How to calculate the greatest common divisor of 296, 637, 756, 825?

We can find the highest common divisor of 296, 637, 756, 825 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 296, 637, 756, 825 i.e 1.

3. How can I use the GCD of 296, 637, 756, 825Calculator?

Out the numbers 296, 637, 756, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.