GCD of 615, 139, 506, 972 Calculator

Given Input numbers are 615, 139, 506, 972

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

Divisors of 615 :

The positive integer divisors of 615 that completely divides 615 are.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 139 :

The positive integer divisors of 139 that completely divides 139 are.

1, 139

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

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

GCD of numbers is the greatest common divisor

So, the GCD (615, 139, 506, 972) = 1.

Given numbers are 615, 139, 506, 972

The list of prime factors of all numbers are

Prime factors of 615 are 3 x 5 x 41

Prime factors of 139 are 139

Prime factors of 506 are 2 x 11 x 23

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

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

Given numbers are 615, 139, 506, 972

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

Apply this formula for all numbers.

Step1:

LCM(615, 139) = 85485

GCD(615, 139) = ( 615 x 139 ) / 85485

= 615 / 139

= 615

Step2:

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

= 1 / 506

= 1

Step3:

LCM(1, 972) = 972

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

= 1 / 972

= 1

So, Greatest Common Divisor of 615, 139, 506, 972 is 1

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Given numbers are 615, 139, 506, 972
The greatest common divisor of numbers 615, 139, 506, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 615, 139, 506, 972 is 1.

1. What is the GCD of 615, 139, 506, 972?

GCD of given numbers 615, 139, 506, 972 is 1

2. How to calculate the greatest common divisor of 615, 139, 506, 972?

We can find the highest common divisor of 615, 139, 506, 972 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 615, 139, 506, 972 i.e 1.

3. How can I use the GCD of 615, 139, 506, 972Calculator?

Out the numbers 615, 139, 506, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.