GCD of 274, 627, 972, 509 Calculator

Given Input numbers are 274, 627, 972, 509

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

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

GCD of numbers is the greatest common divisor

So, the GCD (274, 627, 972, 509) = 1.

Given numbers are 274, 627, 972, 509

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 627 are 3 x 11 x 19

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 509 are 509

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

Given numbers are 274, 627, 972, 509

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

Apply this formula for all numbers.

Step1:

LCM(274, 627) = 171798

GCD(274, 627) = ( 274 x 627 ) / 171798

= 274 / 627

= 274

Step2:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

Step3:

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

= 1 / 509

= 1

So, Greatest Common Divisor of 274, 627, 972, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 684, 653, 287, 789
• GCD of 281, 449, 130, 790
• GCD of 211, 992, 128, 707
• GCD of 318, 927, 450, 527
• GCD of 774, 960, 811, 620

Given numbers are 274, 627, 972, 509
The greatest common divisor of numbers 274, 627, 972, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 627, 972, 509 is 1.

1. What is the GCD of 274, 627, 972, 509?

GCD of given numbers 274, 627, 972, 509 is 1

2. How to calculate the greatest common divisor of 274, 627, 972, 509?

We can find the highest common divisor of 274, 627, 972, 509 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 274, 627, 972, 509 i.e 1.

3. How can I use the GCD of 274, 627, 972, 509Calculator?

Out the numbers 274, 627, 972, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.