GCD of 617, 220, 689, 756 Calculator

Given Input numbers are 617, 220, 689, 756

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

Divisors of 617 :

The positive integer divisors of 617 that completely divides 617 are.

1, 617

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

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

GCD of numbers is the greatest common divisor

So, the GCD (617, 220, 689, 756) = 1.

Given numbers are 617, 220, 689, 756

The list of prime factors of all numbers are

Prime factors of 617 are 617

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 689 are 13 x 53

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

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

Given numbers are 617, 220, 689, 756

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

Apply this formula for all numbers.

Step1:

LCM(617, 220) = 135740

GCD(617, 220) = ( 617 x 220 ) / 135740

= 617 / 220

= 617

Step2:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

Step3:

LCM(1, 756) = 756

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

= 1 / 756

= 1

So, Greatest Common Divisor of 617, 220, 689, 756 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 724, 128, 675, 242
• GCD of 991, 573, 852, 394
• GCD of 137, 139, 424, 131
• GCD of 230, 900, 165, 526
• GCD of 157, 166, 871, 186

Given numbers are 617, 220, 689, 756
The greatest common divisor of numbers 617, 220, 689, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 617, 220, 689, 756 is 1.

1. What is the GCD of 617, 220, 689, 756?

GCD of given numbers 617, 220, 689, 756 is 1

2. How to calculate the greatest common divisor of 617, 220, 689, 756?

We can find the highest common divisor of 617, 220, 689, 756 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 617, 220, 689, 756 i.e 1.

3. How can I use the GCD of 617, 220, 689, 756Calculator?

Out the numbers 617, 220, 689, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.