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GCD of 180, 508, 919, 612 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, 508, 919, 612 quickly. Get the easiest ways to solve the greatest common divisor of 180, 508, 919, 612 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 180, 508, 919, 612 with Factoring?

Given Input numbers are 180, 508, 919, 612

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 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 919 :

The positive integer divisors of 919 that completely divides 919 are.

1, 919

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612


GCD of numbers is the greatest common divisor

So, the GCD (180, 508, 919, 612) = 1.

Find GCD of 180, 508, 919, 612 using Prime Factorization

Given numbers are 180, 508, 919, 612

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 508 are 2 x 2 x 127

Prime factors of 919 are 919

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

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

Steps to Calculate GCD of 180, 508, 919, 612 using LCM Formula

Given numbers are 180, 508, 919, 612

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

Apply this formula for all numbers.

Step1:

LCM(180, 508) = 22860

GCD(180, 508) = ( 180 x 508 ) / 22860

= 180 / 508

= 180


Step2:

LCM(4, 919) = 3676

GCD(4, 919) = ( 4 x 919 ) / 3676

= 4 / 919

= 4


Step3:

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

= 1 / 612

= 1


So, Greatest Common Divisor of 180, 508, 919, 612 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 180, 508, 919, 612

Given numbers are 180, 508, 919, 612
The greatest common divisor of numbers 180, 508, 919, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 508, 919, 612 is 1.

FAQs on GCD of 180, 508, 919, 612 Calculator

1. What is the GCD of 180, 508, 919, 612?

GCD of given numbers 180, 508, 919, 612 is 1


2. How to calculate the greatest common divisor of 180, 508, 919, 612?

We can find the highest common divisor of 180, 508, 919, 612 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, 508, 919, 612 i.e 1.


3. How can I use the GCD of 180, 508, 919, 612Calculator?

Out the numbers 180, 508, 919, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.