GCD of 861, 972, 137, 538 Calculator

Given Input numbers are 861, 972, 137, 538

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

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

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 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

GCD of numbers is the greatest common divisor

So, the GCD (861, 972, 137, 538) = 1.

Given numbers are 861, 972, 137, 538

The list of prime factors of all numbers are

Prime factors of 861 are 3 x 7 x 41

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

Prime factors of 137 are 137

Prime factors of 538 are 2 x 269

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

Given numbers are 861, 972, 137, 538

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

Apply this formula for all numbers.

Step1:

LCM(861, 972) = 278964

GCD(861, 972) = ( 861 x 972 ) / 278964

= 861 / 972

= 861

Step2:

LCM(3, 137) = 411

GCD(3, 137) = ( 3 x 137 ) / 411

= 3 / 137

= 3

Step3:

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

= 1 / 538

= 1

So, Greatest Common Divisor of 861, 972, 137, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 510, 642, 528
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Given numbers are 861, 972, 137, 538
The greatest common divisor of numbers 861, 972, 137, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 972, 137, 538 is 1.

1. What is the GCD of 861, 972, 137, 538?

GCD of given numbers 861, 972, 137, 538 is 1

2. How to calculate the greatest common divisor of 861, 972, 137, 538?

We can find the highest common divisor of 861, 972, 137, 538 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 861, 972, 137, 538 i.e 1.

3. How can I use the GCD of 861, 972, 137, 538Calculator?

Out the numbers 861, 972, 137, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.