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GCD of 180, 468, 784, 615 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 180, 468, 784, 615 quickly. Get the easiest ways to solve the greatest common divisor of 180, 468, 784, 615 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 180, 468, 784, 615 with Factoring?

Given Input numbers are 180, 468, 784, 615

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 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 615 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (180, 468, 784, 615) = 1.

Find GCD of 180, 468, 784, 615 using Prime Factorization

Given numbers are 180, 468, 784, 615

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 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 615 are 3 x 5 x 41

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

Steps to Calculate GCD of 180, 468, 784, 615 using LCM Formula

Given numbers are 180, 468, 784, 615

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

Apply this formula for all numbers.

Step1:

LCM(180, 468) = 2340

GCD(180, 468) = ( 180 x 468 ) / 2340

= 180 / 468

= 180


Step2:

LCM(36, 784) = 7056

GCD(36, 784) = ( 36 x 784 ) / 7056

= 36 / 784

= 36


Step3:

LCM(4, 615) = 2460

GCD(4, 615) = ( 4 x 615 ) / 2460

= 4 / 615

= 4


So, Greatest Common Divisor of 180, 468, 784, 615 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 180, 468, 784, 615

Given numbers are 180, 468, 784, 615
The greatest common divisor of numbers 180, 468, 784, 615 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 468, 784, 615 is 1.

FAQs on GCD of 180, 468, 784, 615 Calculator

1. What is the GCD of 180, 468, 784, 615?

GCD of given numbers 180, 468, 784, 615 is 1


2. How to calculate the greatest common divisor of 180, 468, 784, 615?

We can find the highest common divisor of 180, 468, 784, 615 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, 468, 784, 615 i.e 1.


3. How can I use the GCD of 180, 468, 784, 615Calculator?

Out the numbers 180, 468, 784, 615 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.