GCD of 972, 451, 20, 689 Calculator

Given Input numbers are 972, 451, 20, 689

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 451 :

The positive integer divisors of 451 that completely divides 451 are.

1, 11, 41, 451

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (972, 451, 20, 689) = 1.

Given numbers are 972, 451, 20, 689

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 451 are 11 x 41

Prime factors of 20 are 2 x 2 x 5

Prime factors of 689 are 13 x 53

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

Given numbers are 972, 451, 20, 689

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

Apply this formula for all numbers.

Step1:

LCM(972, 451) = 438372

GCD(972, 451) = ( 972 x 451 ) / 438372

= 972 / 451

= 972

Step2:

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

= 1 / 20

= 1

Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 972, 451, 20, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 839, 498, 72, 225
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• GCD of 762, 338, 97, 606
• GCD of 447, 686, 37, 755
• GCD of 775, 148, 57, 435

Given numbers are 972, 451, 20, 689
The greatest common divisor of numbers 972, 451, 20, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 451, 20, 689 is 1.

1. What is the GCD of 972, 451, 20, 689?

GCD of given numbers 972, 451, 20, 689 is 1

2. How to calculate the greatest common divisor of 972, 451, 20, 689?

We can find the highest common divisor of 972, 451, 20, 689 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, 451, 20, 689 i.e 1.

3. How can I use the GCD of 972, 451, 20, 689Calculator?

Out the numbers 972, 451, 20, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.