GCD of 120, 615, 24, 180 Calculator

Given Input numbers are 120, 615, 24, 180

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 615 :

The positive integer divisors of 615 that completely divides 615 are.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

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

GCD of numbers is the greatest common divisor

So, the GCD (120, 615, 24, 180) = 3.

Given numbers are 120, 615, 24, 180

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 615 are 3 x 5 x 41

Prime factors of 24 are 2 x 2 x 2 x 3

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

The highest common occurrence is 3¹

Therefore, GCD of 120, 615, 24, 180 is 3.

Given numbers are 120, 615, 24, 180

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

Apply this formula for all numbers.

Step1:

LCM(120, 615) = 4920

GCD(120, 615) = ( 120 x 615 ) / 4920

= 120 / 615

= 120

Step2:

LCM(15, 24) = 120

GCD(15, 24) = ( 15 x 24 ) / 120

= 15 / 24

= 15

Step3:

LCM(3, 180) = 180

GCD(3, 180) = ( 3 x 180 ) / 180

= 3 / 180

= 3

So, Greatest Common Divisor of 120, 615, 24, 180 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 215, 699, 86, 310
• GCD of 551, 162, 70, 959
• GCD of 900, 382, 88, 273
• GCD of 214, 888, 66, 989
• GCD of 292, 925, 39, 668

Given numbers are 120, 615, 24, 180
The greatest common divisor of numbers 120, 615, 24, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 615, 24, 180 is 3.

1. What is the GCD of 120, 615, 24, 180?

GCD of given numbers 120, 615, 24, 180 is 3

2. How to calculate the greatest common divisor of 120, 615, 24, 180?

We can find the highest common divisor of 120, 615, 24, 180 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, 615, 24, 180 i.e 3.

3. How can I use the GCD of 120, 615, 24, 180Calculator?

Out the numbers 120, 615, 24, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.