GCD of 724, 672, 972, 500 Calculator

Given Input numbers are 724, 672, 972, 500

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 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

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 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

GCD of numbers is the greatest common divisor

So, the GCD (724, 672, 972, 500) = 4.

Given numbers are 724, 672, 972, 500

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

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

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

The highest common occurrence is 2²

Therefore, GCD of 724, 672, 972, 500 is 4.

Given numbers are 724, 672, 972, 500

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

Apply this formula for all numbers.

Step1:

LCM(724, 672) = 121632

GCD(724, 672) = ( 724 x 672 ) / 121632

= 724 / 672

= 724

Step2:

LCM(4, 972) = 972

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

= 4 / 972

= 4

Step3:

LCM(4, 500) = 500

GCD(4, 500) = ( 4 x 500 ) / 500

= 4 / 500

= 4

So, Greatest Common Divisor of 724, 672, 972, 500 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 533, 493, 105, 338
• GCD of 915, 947, 250, 175
• GCD of 802, 784, 787, 914
• GCD of 153, 830, 700, 457
• GCD of 810, 668, 261, 283

Given numbers are 724, 672, 972, 500
The greatest common divisor of numbers 724, 672, 972, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 672, 972, 500 is 4.

1. What is the GCD of 724, 672, 972, 500?

GCD of given numbers 724, 672, 972, 500 is 4

2. How to calculate the greatest common divisor of 724, 672, 972, 500?

We can find the highest common divisor of 724, 672, 972, 500 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, 672, 972, 500 i.e 4.

3. How can I use the GCD of 724, 672, 972, 500Calculator?

Out the numbers 724, 672, 972, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.