GCD of 972, 685, 271, 724 Calculator

Given Input numbers are 972, 685, 271, 724

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 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (972, 685, 271, 724) = 1.

Given numbers are 972, 685, 271, 724

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 685 are 5 x 137

Prime factors of 271 are 271

Prime factors of 724 are 2 x 2 x 181

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

Given numbers are 972, 685, 271, 724

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

Apply this formula for all numbers.

Step1:

LCM(972, 685) = 665820

GCD(972, 685) = ( 972 x 685 ) / 665820

= 972 / 685

= 972

Step2:

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

= 1 / 271

= 1

Step3:

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

= 1 / 724

= 1

So, Greatest Common Divisor of 972, 685, 271, 724 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 784, 234, 396, 989
• GCD of 450, 697, 430, 664
• GCD of 136, 346, 584, 208
• GCD of 784, 157, 115, 892
• GCD of 214, 533, 904, 331

Given numbers are 972, 685, 271, 724
The greatest common divisor of numbers 972, 685, 271, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 685, 271, 724 is 1.

1. What is the GCD of 972, 685, 271, 724?

GCD of given numbers 972, 685, 271, 724 is 1

2. How to calculate the greatest common divisor of 972, 685, 271, 724?

We can find the highest common divisor of 972, 685, 271, 724 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, 685, 271, 724 i.e 1.

3. How can I use the GCD of 972, 685, 271, 724Calculator?

Out the numbers 972, 685, 271, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.