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GCD of 357, 460, 554, 659 Calculator

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


Online GCD Calculator is useful to find the GCD of 357, 460, 554, 659 quickly. Get the easiest ways to solve the greatest common divisor of 357, 460, 554, 659 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 357, 460, 554, 659 with Factoring?

Given Input numbers are 357, 460, 554, 659

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 554 :

The positive integer divisors of 554 that completely divides 554 are.

1, 2, 277, 554

Divisors of 659 :

The positive integer divisors of 659 that completely divides 659 are.

1, 659


GCD of numbers is the greatest common divisor

So, the GCD (357, 460, 554, 659) = 1.

Find GCD of 357, 460, 554, 659 using Prime Factorization

Given numbers are 357, 460, 554, 659

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 554 are 2 x 277

Prime factors of 659 are 659

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

Steps to Calculate GCD of 357, 460, 554, 659 using LCM Formula

Given numbers are 357, 460, 554, 659

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

Apply this formula for all numbers.

Step1:

LCM(357, 460) = 164220

GCD(357, 460) = ( 357 x 460 ) / 164220

= 357 / 460

= 357


Step2:

LCM(1, 554) = 554

GCD(1, 554) = ( 1 x 554 ) / 554

= 1 / 554

= 1


Step3:

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

= 1 / 659

= 1


So, Greatest Common Divisor of 357, 460, 554, 659 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 357, 460, 554, 659

Given numbers are 357, 460, 554, 659
The greatest common divisor of numbers 357, 460, 554, 659 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 460, 554, 659 is 1.

FAQs on GCD of 357, 460, 554, 659 Calculator

1. What is the GCD of 357, 460, 554, 659?

GCD of given numbers 357, 460, 554, 659 is 1


2. How to calculate the greatest common divisor of 357, 460, 554, 659?

We can find the highest common divisor of 357, 460, 554, 659 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 357, 460, 554, 659 i.e 1.


3. How can I use the GCD of 357, 460, 554, 659Calculator?

Out the numbers 357, 460, 554, 659 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.