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GCD of 485, 975, 216, 972 Calculator

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


Online GCD Calculator is useful to find the GCD of 485, 975, 216, 972 quickly. Get the easiest ways to solve the greatest common divisor of 485, 975, 216, 972 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 485, 975, 216, 972 with Factoring?

Given Input numbers are 485, 975, 216, 972

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

Divisors of 485 :

The positive integer divisors of 485 that completely divides 485 are.

1, 5, 97, 485

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 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972


GCD of numbers is the greatest common divisor

So, the GCD (485, 975, 216, 972) = 1.

Find GCD of 485, 975, 216, 972 using Prime Factorization

Given numbers are 485, 975, 216, 972

The list of prime factors of all numbers are

Prime factors of 485 are 5 x 97

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

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Steps to Calculate GCD of 485, 975, 216, 972 using LCM Formula

Given numbers are 485, 975, 216, 972

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

Apply this formula for all numbers.

Step1:

LCM(485, 975) = 94575

GCD(485, 975) = ( 485 x 975 ) / 94575

= 485 / 975

= 485


Step2:

LCM(5, 216) = 1080

GCD(5, 216) = ( 5 x 216 ) / 1080

= 5 / 216

= 5


Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1


So, Greatest Common Divisor of 485, 975, 216, 972 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 485, 975, 216, 972

Given numbers are 485, 975, 216, 972
The greatest common divisor of numbers 485, 975, 216, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 485, 975, 216, 972 is 1.

FAQs on GCD of 485, 975, 216, 972 Calculator

1. What is the GCD of 485, 975, 216, 972?

GCD of given numbers 485, 975, 216, 972 is 1


2. How to calculate the greatest common divisor of 485, 975, 216, 972?

We can find the highest common divisor of 485, 975, 216, 972 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 485, 975, 216, 972 i.e 1.


3. How can I use the GCD of 485, 975, 216, 972Calculator?

Out the numbers 485, 975, 216, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.