GCD of 120, 724, 478, 131 Calculator

Given Input numbers are 120, 724, 478, 131

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 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

GCD of numbers is the greatest common divisor

So, the GCD (120, 724, 478, 131) = 1.

Given numbers are 120, 724, 478, 131

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 478 are 2 x 239

Prime factors of 131 are 131

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

Given numbers are 120, 724, 478, 131

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, 478) = 956

GCD(4, 478) = ( 4 x 478 ) / 956

= 4 / 478

= 4

Step3:

LCM(2, 131) = 262

GCD(2, 131) = ( 2 x 131 ) / 262

= 2 / 131

= 2

So, Greatest Common Divisor of 120, 724, 478, 131 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 654, 489, 762, 993
• GCD of 280, 545, 996, 162
• GCD of 380, 592, 673, 852
• GCD of 147, 894, 995, 875
• GCD of 317, 174, 479, 244

Given numbers are 120, 724, 478, 131
The greatest common divisor of numbers 120, 724, 478, 131 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 724, 478, 131 is 1.

1. What is the GCD of 120, 724, 478, 131?

GCD of given numbers 120, 724, 478, 131 is 1

2. How to calculate the greatest common divisor of 120, 724, 478, 131?

We can find the highest common divisor of 120, 724, 478, 131 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, 478, 131 i.e 1.

3. How can I use the GCD of 120, 724, 478, 131Calculator?

Out the numbers 120, 724, 478, 131 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.