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GCD of 360, 116, 629, 411 Calculator

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


Online GCD Calculator is useful to find the GCD of 360, 116, 629, 411 quickly. Get the easiest ways to solve the greatest common divisor of 360, 116, 629, 411 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 360, 116, 629, 411 with Factoring?

Given Input numbers are 360, 116, 629, 411

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 629 :

The positive integer divisors of 629 that completely divides 629 are.

1, 17, 37, 629

Divisors of 411 :

The positive integer divisors of 411 that completely divides 411 are.

1, 3, 137, 411


GCD of numbers is the greatest common divisor

So, the GCD (360, 116, 629, 411) = 1.

Find GCD of 360, 116, 629, 411 using Prime Factorization

Given numbers are 360, 116, 629, 411

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 116 are 2 x 2 x 29

Prime factors of 629 are 17 x 37

Prime factors of 411 are 3 x 137

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

Steps to Calculate GCD of 360, 116, 629, 411 using LCM Formula

Given numbers are 360, 116, 629, 411

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

Apply this formula for all numbers.

Step1:

LCM(360, 116) = 10440

GCD(360, 116) = ( 360 x 116 ) / 10440

= 360 / 116

= 360


Step2:

LCM(4, 629) = 2516

GCD(4, 629) = ( 4 x 629 ) / 2516

= 4 / 629

= 4


Step3:

LCM(1, 411) = 411

GCD(1, 411) = ( 1 x 411 ) / 411

= 1 / 411

= 1


So, Greatest Common Divisor of 360, 116, 629, 411 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 360, 116, 629, 411

Given numbers are 360, 116, 629, 411
The greatest common divisor of numbers 360, 116, 629, 411 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 116, 629, 411 is 1.

FAQs on GCD of 360, 116, 629, 411 Calculator

1. What is the GCD of 360, 116, 629, 411?

GCD of given numbers 360, 116, 629, 411 is 1


2. How to calculate the greatest common divisor of 360, 116, 629, 411?

We can find the highest common divisor of 360, 116, 629, 411 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 360, 116, 629, 411 i.e 1.


3. How can I use the GCD of 360, 116, 629, 411Calculator?

Out the numbers 360, 116, 629, 411 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.