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GCD of 258, 590, 953, 425 Calculator

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


Online GCD Calculator is useful to find the GCD of 258, 590, 953, 425 quickly. Get the easiest ways to solve the greatest common divisor of 258, 590, 953, 425 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 258, 590, 953, 425 with Factoring?

Given Input numbers are 258, 590, 953, 425

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

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 953 :

The positive integer divisors of 953 that completely divides 953 are.

1, 953

Divisors of 425 :

The positive integer divisors of 425 that completely divides 425 are.

1, 5, 17, 25, 85, 425


GCD of numbers is the greatest common divisor

So, the GCD (258, 590, 953, 425) = 1.

Find GCD of 258, 590, 953, 425 using Prime Factorization

Given numbers are 258, 590, 953, 425

The list of prime factors of all numbers are

Prime factors of 258 are 2 x 3 x 43

Prime factors of 590 are 2 x 5 x 59

Prime factors of 953 are 953

Prime factors of 425 are 5 x 5 x 17

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

Steps to Calculate GCD of 258, 590, 953, 425 using LCM Formula

Given numbers are 258, 590, 953, 425

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

Apply this formula for all numbers.

Step1:

LCM(258, 590) = 76110

GCD(258, 590) = ( 258 x 590 ) / 76110

= 258 / 590

= 258


Step2:

LCM(2, 953) = 1906

GCD(2, 953) = ( 2 x 953 ) / 1906

= 2 / 953

= 2


Step3:

LCM(1, 425) = 425

GCD(1, 425) = ( 1 x 425 ) / 425

= 1 / 425

= 1


So, Greatest Common Divisor of 258, 590, 953, 425 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 258, 590, 953, 425

Given numbers are 258, 590, 953, 425
The greatest common divisor of numbers 258, 590, 953, 425 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 258, 590, 953, 425 is 1.

FAQs on GCD of 258, 590, 953, 425 Calculator

1. What is the GCD of 258, 590, 953, 425?

GCD of given numbers 258, 590, 953, 425 is 1


2. How to calculate the greatest common divisor of 258, 590, 953, 425?

We can find the highest common divisor of 258, 590, 953, 425 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 258, 590, 953, 425 i.e 1.


3. How can I use the GCD of 258, 590, 953, 425Calculator?

Out the numbers 258, 590, 953, 425 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.