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GCD of 364, 653, 354, 971 Calculator

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


Online GCD Calculator is useful to find the GCD of 364, 653, 354, 971 quickly. Get the easiest ways to solve the greatest common divisor of 364, 653, 354, 971 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 364, 653, 354, 971 with Factoring?

Given Input numbers are 364, 653, 354, 971

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 653 :

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

1, 653

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 971 :

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

1, 971


GCD of numbers is the greatest common divisor

So, the GCD (364, 653, 354, 971) = 1.

Find GCD of 364, 653, 354, 971 using Prime Factorization

Given numbers are 364, 653, 354, 971

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 653 are 653

Prime factors of 354 are 2 x 3 x 59

Prime factors of 971 are 971

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

Steps to Calculate GCD of 364, 653, 354, 971 using LCM Formula

Given numbers are 364, 653, 354, 971

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

Apply this formula for all numbers.

Step1:

LCM(364, 653) = 237692

GCD(364, 653) = ( 364 x 653 ) / 237692

= 364 / 653

= 364


Step2:

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

= 1 / 354

= 1


Step3:

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

= 1 / 971

= 1


So, Greatest Common Divisor of 364, 653, 354, 971 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 364, 653, 354, 971

Given numbers are 364, 653, 354, 971
The greatest common divisor of numbers 364, 653, 354, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 653, 354, 971 is 1.

FAQs on GCD of 364, 653, 354, 971 Calculator

1. What is the GCD of 364, 653, 354, 971?

GCD of given numbers 364, 653, 354, 971 is 1


2. How to calculate the greatest common divisor of 364, 653, 354, 971?

We can find the highest common divisor of 364, 653, 354, 971 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 364, 653, 354, 971 i.e 1.


3. How can I use the GCD of 364, 653, 354, 971Calculator?

Out the numbers 364, 653, 354, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.