GCD of 180, 724, 780, 135 Calculator

Given Input numbers are 180, 724, 780, 135

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (180, 724, 780, 135) = 1.

Given numbers are 180, 724, 780, 135

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 724 are 2 x 2 x 181

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 135 are 3 x 3 x 3 x 5

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

Given numbers are 180, 724, 780, 135

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

Apply this formula for all numbers.

Step1:

LCM(180, 724) = 32580

GCD(180, 724) = ( 180 x 724 ) / 32580

= 180 / 724

= 180

Step2:

LCM(4, 780) = 780

GCD(4, 780) = ( 4 x 780 ) / 780

= 4 / 780

= 4

Step3:

LCM(4, 135) = 540

GCD(4, 135) = ( 4 x 135 ) / 540

= 4 / 135

= 4

So, Greatest Common Divisor of 180, 724, 780, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 746, 154, 227, 375
• GCD of 777, 680, 729, 812
• GCD of 238, 532, 444, 115
• GCD of 690, 220, 825, 892
• GCD of 721, 960, 350, 779

Given numbers are 180, 724, 780, 135
The greatest common divisor of numbers 180, 724, 780, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 724, 780, 135 is 1.

1. What is the GCD of 180, 724, 780, 135?

GCD of given numbers 180, 724, 780, 135 is 1

2. How to calculate the greatest common divisor of 180, 724, 780, 135?

We can find the highest common divisor of 180, 724, 780, 135 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 180, 724, 780, 135 i.e 1.

3. How can I use the GCD of 180, 724, 780, 135Calculator?

Out the numbers 180, 724, 780, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.