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GCD of 275, 360, 961, 367 Calculator

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


Online GCD Calculator is useful to find the GCD of 275, 360, 961, 367 quickly. Get the easiest ways to solve the greatest common divisor of 275, 360, 961, 367 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 275, 360, 961, 367 with Factoring?

Given Input numbers are 275, 360, 961, 367

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

Divisors of 275 :

The positive integer divisors of 275 that completely divides 275 are.

1, 5, 11, 25, 55, 275

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 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367


GCD of numbers is the greatest common divisor

So, the GCD (275, 360, 961, 367) = 1.

Find GCD of 275, 360, 961, 367 using Prime Factorization

Given numbers are 275, 360, 961, 367

The list of prime factors of all numbers are

Prime factors of 275 are 5 x 5 x 11

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

Prime factors of 961 are 31 x 31

Prime factors of 367 are 367

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

Steps to Calculate GCD of 275, 360, 961, 367 using LCM Formula

Given numbers are 275, 360, 961, 367

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

Apply this formula for all numbers.

Step1:

LCM(275, 360) = 19800

GCD(275, 360) = ( 275 x 360 ) / 19800

= 275 / 360

= 275


Step2:

LCM(5, 961) = 4805

GCD(5, 961) = ( 5 x 961 ) / 4805

= 5 / 961

= 5


Step3:

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

= 1 / 367

= 1


So, Greatest Common Divisor of 275, 360, 961, 367 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 275, 360, 961, 367

Given numbers are 275, 360, 961, 367
The greatest common divisor of numbers 275, 360, 961, 367 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 275, 360, 961, 367 is 1.

FAQs on GCD of 275, 360, 961, 367 Calculator

1. What is the GCD of 275, 360, 961, 367?

GCD of given numbers 275, 360, 961, 367 is 1


2. How to calculate the greatest common divisor of 275, 360, 961, 367?

We can find the highest common divisor of 275, 360, 961, 367 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 275, 360, 961, 367 i.e 1.


3. How can I use the GCD of 275, 360, 961, 367Calculator?

Out the numbers 275, 360, 961, 367 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.