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GCD of 971, 889, 653, 263 Calculator

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


Online GCD Calculator is useful to find the GCD of 971, 889, 653, 263 quickly. Get the easiest ways to solve the greatest common divisor of 971, 889, 653, 263 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 971, 889, 653, 263 with Factoring?

Given Input numbers are 971, 889, 653, 263

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

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653

Divisors of 263 :

The positive integer divisors of 263 that completely divides 263 are.

1, 263


GCD of numbers is the greatest common divisor

So, the GCD (971, 889, 653, 263) = 1.

Find GCD of 971, 889, 653, 263 using Prime Factorization

Given numbers are 971, 889, 653, 263

The list of prime factors of all numbers are

Prime factors of 971 are 971

Prime factors of 889 are 7 x 127

Prime factors of 653 are 653

Prime factors of 263 are 263

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

Steps to Calculate GCD of 971, 889, 653, 263 using LCM Formula

Given numbers are 971, 889, 653, 263

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

Apply this formula for all numbers.

Step1:

LCM(971, 889) = 863219

GCD(971, 889) = ( 971 x 889 ) / 863219

= 971 / 889

= 971


Step2:

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

= 1 / 653

= 1


Step3:

LCM(1, 263) = 263

GCD(1, 263) = ( 1 x 263 ) / 263

= 1 / 263

= 1


So, Greatest Common Divisor of 971, 889, 653, 263 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 971, 889, 653, 263

Given numbers are 971, 889, 653, 263
The greatest common divisor of numbers 971, 889, 653, 263 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 889, 653, 263 is 1.

FAQs on GCD of 971, 889, 653, 263 Calculator

1. What is the GCD of 971, 889, 653, 263?

GCD of given numbers 971, 889, 653, 263 is 1


2. How to calculate the greatest common divisor of 971, 889, 653, 263?

We can find the highest common divisor of 971, 889, 653, 263 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 971, 889, 653, 263 i.e 1.


3. How can I use the GCD of 971, 889, 653, 263Calculator?

Out the numbers 971, 889, 653, 263 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.