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GCD of 270, 975, 316, 853 Calculator

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


Online GCD Calculator is useful to find the GCD of 270, 975, 316, 853 quickly. Get the easiest ways to solve the greatest common divisor of 270, 975, 316, 853 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 270, 975, 316, 853 with Factoring?

Given Input numbers are 270, 975, 316, 853

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 853 :

The positive integer divisors of 853 that completely divides 853 are.

1, 853


GCD of numbers is the greatest common divisor

So, the GCD (270, 975, 316, 853) = 1.

Find GCD of 270, 975, 316, 853 using Prime Factorization

Given numbers are 270, 975, 316, 853

The list of prime factors of all numbers are

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 316 are 2 x 2 x 79

Prime factors of 853 are 853

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

Steps to Calculate GCD of 270, 975, 316, 853 using LCM Formula

Given numbers are 270, 975, 316, 853

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

Apply this formula for all numbers.

Step1:

LCM(270, 975) = 17550

GCD(270, 975) = ( 270 x 975 ) / 17550

= 270 / 975

= 270


Step2:

LCM(15, 316) = 4740

GCD(15, 316) = ( 15 x 316 ) / 4740

= 15 / 316

= 15


Step3:

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

= 1 / 853

= 1


So, Greatest Common Divisor of 270, 975, 316, 853 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 270, 975, 316, 853

Given numbers are 270, 975, 316, 853
The greatest common divisor of numbers 270, 975, 316, 853 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 975, 316, 853 is 1.

FAQs on GCD of 270, 975, 316, 853 Calculator

1. What is the GCD of 270, 975, 316, 853?

GCD of given numbers 270, 975, 316, 853 is 1


2. How to calculate the greatest common divisor of 270, 975, 316, 853?

We can find the highest common divisor of 270, 975, 316, 853 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 270, 975, 316, 853 i.e 1.


3. How can I use the GCD of 270, 975, 316, 853Calculator?

Out the numbers 270, 975, 316, 853 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.