GCD of 972, 540, 586, 707 Calculator

Given Input numbers are 972, 540, 586, 707

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 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

Divisors of 707 :

The positive integer divisors of 707 that completely divides 707 are.

1, 7, 101, 707

GCD of numbers is the greatest common divisor

So, the GCD (972, 540, 586, 707) = 1.

Given numbers are 972, 540, 586, 707

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 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 586 are 2 x 293

Prime factors of 707 are 7 x 101

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

Given numbers are 972, 540, 586, 707

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

Apply this formula for all numbers.

Step1:

LCM(972, 540) = 4860

GCD(972, 540) = ( 972 x 540 ) / 4860

= 972 / 540

= 972

Step2:

LCM(108, 586) = 31644

GCD(108, 586) = ( 108 x 586 ) / 31644

= 108 / 586

= 108

Step3:

LCM(2, 707) = 1414

GCD(2, 707) = ( 2 x 707 ) / 1414

= 2 / 707

= 2

So, Greatest Common Divisor of 972, 540, 586, 707 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 758, 393, 755, 439
• GCD of 109, 438, 166, 148
• GCD of 969, 994, 190, 485
• GCD of 135, 395, 431, 889
• GCD of 161, 625, 653, 577

Given numbers are 972, 540, 586, 707
The greatest common divisor of numbers 972, 540, 586, 707 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 540, 586, 707 is 1.

1. What is the GCD of 972, 540, 586, 707?

GCD of given numbers 972, 540, 586, 707 is 1

2. How to calculate the greatest common divisor of 972, 540, 586, 707?

We can find the highest common divisor of 972, 540, 586, 707 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, 540, 586, 707 i.e 1.

3. How can I use the GCD of 972, 540, 586, 707Calculator?

Out the numbers 972, 540, 586, 707 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.