GCD of 972, 509, 123, 654 Calculator

Given Input numbers are 972, 509, 123, 654

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

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

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

GCD of numbers is the greatest common divisor

So, the GCD (972, 509, 123, 654) = 1.

Given numbers are 972, 509, 123, 654

The list of prime factors of all numbers are

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

Prime factors of 509 are 509

Prime factors of 123 are 3 x 41

Prime factors of 654 are 2 x 3 x 109

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

Given numbers are 972, 509, 123, 654

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

Apply this formula for all numbers.

Step1:

LCM(972, 509) = 494748

GCD(972, 509) = ( 972 x 509 ) / 494748

= 972 / 509

= 972

Step2:

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

= 1 / 123

= 1

Step3:

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

= 1 / 654

= 1

So, Greatest Common Divisor of 972, 509, 123, 654 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 373, 930, 741, 938
• GCD of 620, 581, 320, 113
• GCD of 264, 969, 139, 505
• GCD of 348, 130, 181, 150
• GCD of 875, 801, 711, 163

Given numbers are 972, 509, 123, 654
The greatest common divisor of numbers 972, 509, 123, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 509, 123, 654 is 1.

1. What is the GCD of 972, 509, 123, 654?

GCD of given numbers 972, 509, 123, 654 is 1

2. How to calculate the greatest common divisor of 972, 509, 123, 654?

We can find the highest common divisor of 972, 509, 123, 654 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 972, 509, 123, 654 i.e 1.

3. How can I use the GCD of 972, 509, 123, 654Calculator?

Out the numbers 972, 509, 123, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.