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GCD of 422, 971, 169, 688 Calculator

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


Online GCD Calculator is useful to find the GCD of 422, 971, 169, 688 quickly. Get the easiest ways to solve the greatest common divisor of 422, 971, 169, 688 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 422, 971, 169, 688 with Factoring?

Given Input numbers are 422, 971, 169, 688

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

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 971 :

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

1, 971

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688


GCD of numbers is the greatest common divisor

So, the GCD (422, 971, 169, 688) = 1.

Find GCD of 422, 971, 169, 688 using Prime Factorization

Given numbers are 422, 971, 169, 688

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

Prime factors of 971 are 971

Prime factors of 169 are 13 x 13

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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

Steps to Calculate GCD of 422, 971, 169, 688 using LCM Formula

Given numbers are 422, 971, 169, 688

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

Apply this formula for all numbers.

Step1:

LCM(422, 971) = 409762

GCD(422, 971) = ( 422 x 971 ) / 409762

= 422 / 971

= 422


Step2:

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

= 1 / 169

= 1


Step3:

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

= 1 / 688

= 1


So, Greatest Common Divisor of 422, 971, 169, 688 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 422, 971, 169, 688

Given numbers are 422, 971, 169, 688
The greatest common divisor of numbers 422, 971, 169, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 971, 169, 688 is 1.

FAQs on GCD of 422, 971, 169, 688 Calculator

1. What is the GCD of 422, 971, 169, 688?

GCD of given numbers 422, 971, 169, 688 is 1


2. How to calculate the greatest common divisor of 422, 971, 169, 688?

We can find the highest common divisor of 422, 971, 169, 688 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 422, 971, 169, 688 i.e 1.


3. How can I use the GCD of 422, 971, 169, 688Calculator?

Out the numbers 422, 971, 169, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.