GCD of 724, 472, 432, 972 Calculator

Given Input numbers are 724, 472, 432, 972

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

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

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 (724, 472, 432, 972) = 4.

Given numbers are 724, 472, 432, 972

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

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

The highest common occurrence is 2²

Therefore, GCD of 724, 472, 432, 972 is 4.

Given numbers are 724, 472, 432, 972

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

Apply this formula for all numbers.

Step1:

LCM(724, 472) = 85432

GCD(724, 472) = ( 724 x 472 ) / 85432

= 724 / 472

= 724

Step2:

LCM(4, 432) = 432

GCD(4, 432) = ( 4 x 432 ) / 432

= 4 / 432

= 4

Step3:

LCM(4, 972) = 972

GCD(4, 972) = ( 4 x 972 ) / 972

= 4 / 972

= 4

So, Greatest Common Divisor of 724, 472, 432, 972 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 135, 816, 464
• GCD of 394, 623, 237, 651
• GCD of 641, 729, 126, 107
• GCD of 932, 200, 626, 971
• GCD of 181, 220, 900, 710

Given numbers are 724, 472, 432, 972
The greatest common divisor of numbers 724, 472, 432, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 472, 432, 972 is 4.

1. What is the GCD of 724, 472, 432, 972?

GCD of given numbers 724, 472, 432, 972 is 4

2. How to calculate the greatest common divisor of 724, 472, 432, 972?

We can find the highest common divisor of 724, 472, 432, 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 724, 472, 432, 972 i.e 4.

3. How can I use the GCD of 724, 472, 432, 972Calculator?

Out the numbers 724, 472, 432, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.