GCD of 120, 724, 108, 588 Calculator

Given Input numbers are 120, 724, 108, 588

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

GCD of numbers is the greatest common divisor

So, the GCD (120, 724, 108, 588) = 4.

Given numbers are 120, 724, 108, 588

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 724 are 2 x 2 x 181

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

The highest common occurrence is 2²

Therefore, GCD of 120, 724, 108, 588 is 4.

Given numbers are 120, 724, 108, 588

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

Apply this formula for all numbers.

Step1:

LCM(120, 724) = 21720

GCD(120, 724) = ( 120 x 724 ) / 21720

= 120 / 724

= 120

Step2:

LCM(4, 108) = 108

GCD(4, 108) = ( 4 x 108 ) / 108

= 4 / 108

= 4

Step3:

LCM(4, 588) = 588

GCD(4, 588) = ( 4 x 588 ) / 588

= 4 / 588

= 4

So, Greatest Common Divisor of 120, 724, 108, 588 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 918, 793, 528, 988
• GCD of 323, 300, 339, 184
• GCD of 886, 425, 605, 350
• GCD of 481, 844, 419, 643
• GCD of 231, 413, 384, 322

Given numbers are 120, 724, 108, 588
The greatest common divisor of numbers 120, 724, 108, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 724, 108, 588 is 4.

1. What is the GCD of 120, 724, 108, 588?

GCD of given numbers 120, 724, 108, 588 is 4

2. How to calculate the greatest common divisor of 120, 724, 108, 588?

We can find the highest common divisor of 120, 724, 108, 588 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 120, 724, 108, 588 i.e 4.

3. How can I use the GCD of 120, 724, 108, 588Calculator?

Out the numbers 120, 724, 108, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.