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GCD of 972, 454, 161, 559 Calculator

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


Online GCD Calculator is useful to find the GCD of 972, 454, 161, 559 quickly. Get the easiest ways to solve the greatest common divisor of 972, 454, 161, 559 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 972, 454, 161, 559 with Factoring?

Given Input numbers are 972, 454, 161, 559

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

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

Divisors of 454 :

The positive integer divisors of 454 that completely divides 454 are.

1, 2, 227, 454

Divisors of 161 :

The positive integer divisors of 161 that completely divides 161 are.

1, 7, 23, 161

Divisors of 559 :

The positive integer divisors of 559 that completely divides 559 are.

1, 13, 43, 559


GCD of numbers is the greatest common divisor

So, the GCD (972, 454, 161, 559) = 1.

Find GCD of 972, 454, 161, 559 using Prime Factorization

Given numbers are 972, 454, 161, 559

The list of prime factors of all numbers are

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

Prime factors of 454 are 2 x 227

Prime factors of 161 are 7 x 23

Prime factors of 559 are 13 x 43

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

Steps to Calculate GCD of 972, 454, 161, 559 using LCM Formula

Given numbers are 972, 454, 161, 559

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

Apply this formula for all numbers.

Step1:

LCM(972, 454) = 220644

GCD(972, 454) = ( 972 x 454 ) / 220644

= 972 / 454

= 972


Step2:

LCM(2, 161) = 322

GCD(2, 161) = ( 2 x 161 ) / 322

= 2 / 161

= 2


Step3:

LCM(1, 559) = 559

GCD(1, 559) = ( 1 x 559 ) / 559

= 1 / 559

= 1


So, Greatest Common Divisor of 972, 454, 161, 559 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 972, 454, 161, 559

Given numbers are 972, 454, 161, 559
The greatest common divisor of numbers 972, 454, 161, 559 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 454, 161, 559 is 1.

FAQs on GCD of 972, 454, 161, 559 Calculator

1. What is the GCD of 972, 454, 161, 559?

GCD of given numbers 972, 454, 161, 559 is 1


2. How to calculate the greatest common divisor of 972, 454, 161, 559?

We can find the highest common divisor of 972, 454, 161, 559 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 972, 454, 161, 559 i.e 1.


3. How can I use the GCD of 972, 454, 161, 559Calculator?

Out the numbers 972, 454, 161, 559 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.