GCD of 120, 144, 115, 567 Calculator

Given Input numbers are 120, 144, 115, 567

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 115 :

The positive integer divisors of 115 that completely divides 115 are.

1, 5, 23, 115

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

GCD of numbers is the greatest common divisor

So, the GCD (120, 144, 115, 567) = 1.

Given numbers are 120, 144, 115, 567

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 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 115 are 5 x 23

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

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

Given numbers are 120, 144, 115, 567

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

Apply this formula for all numbers.

Step1:

LCM(120, 144) = 720

GCD(120, 144) = ( 120 x 144 ) / 720

= 120 / 144

= 120

Step2:

LCM(24, 115) = 2760

GCD(24, 115) = ( 24 x 115 ) / 2760

= 24 / 115

= 24

Step3:

LCM(1, 567) = 567

GCD(1, 567) = ( 1 x 567 ) / 567

= 1 / 567

= 1

So, Greatest Common Divisor of 120, 144, 115, 567 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 819, 630, 992
• GCD of 696, 743, 499, 977
• GCD of 607, 963, 300, 277
• GCD of 594, 110, 224, 317
• GCD of 997, 700, 190, 521

Given numbers are 120, 144, 115, 567
The greatest common divisor of numbers 120, 144, 115, 567 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 144, 115, 567 is 1.

1. What is the GCD of 120, 144, 115, 567?

GCD of given numbers 120, 144, 115, 567 is 1

2. How to calculate the greatest common divisor of 120, 144, 115, 567?

We can find the highest common divisor of 120, 144, 115, 567 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, 144, 115, 567 i.e 1.

3. How can I use the GCD of 120, 144, 115, 567Calculator?

Out the numbers 120, 144, 115, 567 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.