GCD of 756, 938, 617, 584 Calculator

Given Input numbers are 756, 938, 617, 584

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 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 617 :

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

1, 617

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

GCD of numbers is the greatest common divisor

So, the GCD (756, 938, 617, 584) = 1.

Given numbers are 756, 938, 617, 584

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 938 are 2 x 7 x 67

Prime factors of 617 are 617

Prime factors of 584 are 2 x 2 x 2 x 73

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

Given numbers are 756, 938, 617, 584

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

Apply this formula for all numbers.

Step1:

LCM(756, 938) = 50652

GCD(756, 938) = ( 756 x 938 ) / 50652

= 756 / 938

= 756

Step2:

LCM(14, 617) = 8638

GCD(14, 617) = ( 14 x 617 ) / 8638

= 14 / 617

= 14

Step3:

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

= 1 / 584

= 1

So, Greatest Common Divisor of 756, 938, 617, 584 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 210, 986, 560
• GCD of 982, 225, 885, 422
• GCD of 631, 112, 147, 723
• GCD of 910, 699, 697, 541
• GCD of 422, 236, 721, 509

Given numbers are 756, 938, 617, 584
The greatest common divisor of numbers 756, 938, 617, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 938, 617, 584 is 1.

1. What is the GCD of 756, 938, 617, 584?

GCD of given numbers 756, 938, 617, 584 is 1

2. How to calculate the greatest common divisor of 756, 938, 617, 584?

We can find the highest common divisor of 756, 938, 617, 584 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, 938, 617, 584 i.e 1.

3. How can I use the GCD of 756, 938, 617, 584Calculator?

Out the numbers 756, 938, 617, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.