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GCD of 355, 489, 22, 759 Calculator

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


Online GCD Calculator is useful to find the GCD of 355, 489, 22, 759 quickly. Get the easiest ways to solve the greatest common divisor of 355, 489, 22, 759 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 355, 489, 22, 759 with Factoring?

Given Input numbers are 355, 489, 22, 759

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

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 22 :

The positive integer divisors of 22 that completely divides 22 are.

1, 2, 11, 22

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759


GCD of numbers is the greatest common divisor

So, the GCD (355, 489, 22, 759) = 1.

Find GCD of 355, 489, 22, 759 using Prime Factorization

Given numbers are 355, 489, 22, 759

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

Prime factors of 489 are 3 x 163

Prime factors of 22 are 2 x 11

Prime factors of 759 are 3 x 11 x 23

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

Steps to Calculate GCD of 355, 489, 22, 759 using LCM Formula

Given numbers are 355, 489, 22, 759

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

Apply this formula for all numbers.

Step1:

LCM(355, 489) = 173595

GCD(355, 489) = ( 355 x 489 ) / 173595

= 355 / 489

= 355


Step2:

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

= 1 / 22

= 1


Step3:

LCM(1, 759) = 759

GCD(1, 759) = ( 1 x 759 ) / 759

= 1 / 759

= 1


So, Greatest Common Divisor of 355, 489, 22, 759 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 355, 489, 22, 759

Given numbers are 355, 489, 22, 759
The greatest common divisor of numbers 355, 489, 22, 759 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 489, 22, 759 is 1.

FAQs on GCD of 355, 489, 22, 759 Calculator

1. What is the GCD of 355, 489, 22, 759?

GCD of given numbers 355, 489, 22, 759 is 1


2. How to calculate the greatest common divisor of 355, 489, 22, 759?

We can find the highest common divisor of 355, 489, 22, 759 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 355, 489, 22, 759 i.e 1.


3. How can I use the GCD of 355, 489, 22, 759Calculator?

Out the numbers 355, 489, 22, 759 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.