GCD of 756, 717, 984, 653 Calculator

Given Input numbers are 756, 717, 984, 653

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 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653

GCD of numbers is the greatest common divisor

So, the GCD (756, 717, 984, 653) = 1.

Given numbers are 756, 717, 984, 653

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 717 are 3 x 239

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 653 are 653

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

Given numbers are 756, 717, 984, 653

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

Apply this formula for all numbers.

Step1:

LCM(756, 717) = 180684

GCD(756, 717) = ( 756 x 717 ) / 180684

= 756 / 717

= 756

Step2:

LCM(3, 984) = 984

GCD(3, 984) = ( 3 x 984 ) / 984

= 3 / 984

= 3

Step3:

LCM(3, 653) = 1959

GCD(3, 653) = ( 3 x 653 ) / 1959

= 3 / 653

= 3

So, Greatest Common Divisor of 756, 717, 984, 653 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 911, 516, 602, 395
• GCD of 591, 182, 331, 700
• GCD of 279, 168, 187, 899
• GCD of 403, 691, 328, 171
• GCD of 169, 197, 749, 120

Given numbers are 756, 717, 984, 653
The greatest common divisor of numbers 756, 717, 984, 653 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 717, 984, 653 is 1.

1. What is the GCD of 756, 717, 984, 653?

GCD of given numbers 756, 717, 984, 653 is 1

2. How to calculate the greatest common divisor of 756, 717, 984, 653?

We can find the highest common divisor of 756, 717, 984, 653 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, 717, 984, 653 i.e 1.

3. How can I use the GCD of 756, 717, 984, 653Calculator?

Out the numbers 756, 717, 984, 653 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.