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GCD of 364, 705, 959, 291 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, 705, 959, 291 quickly. Get the easiest ways to solve the greatest common divisor of 364, 705, 959, 291 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 364, 705, 959, 291 with Factoring?

Given Input numbers are 364, 705, 959, 291

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 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 959 :

The positive integer divisors of 959 that completely divides 959 are.

1, 7, 137, 959

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291


GCD of numbers is the greatest common divisor

So, the GCD (364, 705, 959, 291) = 1.

Find GCD of 364, 705, 959, 291 using Prime Factorization

Given numbers are 364, 705, 959, 291

The list of prime factors of all numbers are

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

Prime factors of 705 are 3 x 5 x 47

Prime factors of 959 are 7 x 137

Prime factors of 291 are 3 x 97

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

Steps to Calculate GCD of 364, 705, 959, 291 using LCM Formula

Given numbers are 364, 705, 959, 291

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

Apply this formula for all numbers.

Step1:

LCM(364, 705) = 256620

GCD(364, 705) = ( 364 x 705 ) / 256620

= 364 / 705

= 364


Step2:

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

= 1 / 959

= 1


Step3:

LCM(1, 291) = 291

GCD(1, 291) = ( 1 x 291 ) / 291

= 1 / 291

= 1


So, Greatest Common Divisor of 364, 705, 959, 291 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 364, 705, 959, 291

Given numbers are 364, 705, 959, 291
The greatest common divisor of numbers 364, 705, 959, 291 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 705, 959, 291 is 1.

FAQs on GCD of 364, 705, 959, 291 Calculator

1. What is the GCD of 364, 705, 959, 291?

GCD of given numbers 364, 705, 959, 291 is 1


2. How to calculate the greatest common divisor of 364, 705, 959, 291?

We can find the highest common divisor of 364, 705, 959, 291 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, 705, 959, 291 i.e 1.


3. How can I use the GCD of 364, 705, 959, 291Calculator?

Out the numbers 364, 705, 959, 291 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.