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GCD of 360, 953, 712, 854 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, 953, 712, 854 quickly. Get the easiest ways to solve the greatest common divisor of 360, 953, 712, 854 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 360, 953, 712, 854 with Factoring?

Given Input numbers are 360, 953, 712, 854

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 953 :

The positive integer divisors of 953 that completely divides 953 are.

1, 953

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854


GCD of numbers is the greatest common divisor

So, the GCD (360, 953, 712, 854) = 1.

Find GCD of 360, 953, 712, 854 using Prime Factorization

Given numbers are 360, 953, 712, 854

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 953 are 953

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 854 are 2 x 7 x 61

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

Steps to Calculate GCD of 360, 953, 712, 854 using LCM Formula

Given numbers are 360, 953, 712, 854

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

Apply this formula for all numbers.

Step1:

LCM(360, 953) = 343080

GCD(360, 953) = ( 360 x 953 ) / 343080

= 360 / 953

= 360


Step2:

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

= 1 / 712

= 1


Step3:

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

= 1 / 854

= 1


So, Greatest Common Divisor of 360, 953, 712, 854 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 360, 953, 712, 854

Given numbers are 360, 953, 712, 854
The greatest common divisor of numbers 360, 953, 712, 854 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 953, 712, 854 is 1.

FAQs on GCD of 360, 953, 712, 854 Calculator

1. What is the GCD of 360, 953, 712, 854?

GCD of given numbers 360, 953, 712, 854 is 1


2. How to calculate the greatest common divisor of 360, 953, 712, 854?

We can find the highest common divisor of 360, 953, 712, 854 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, 953, 712, 854 i.e 1.


3. How can I use the GCD of 360, 953, 712, 854Calculator?

Out the numbers 360, 953, 712, 854 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.