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GCD of 825, 482, 310, 658 Calculator

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


Online GCD Calculator is useful to find the GCD of 825, 482, 310, 658 quickly. Get the easiest ways to solve the greatest common divisor of 825, 482, 310, 658 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 825, 482, 310, 658 with Factoring?

Given Input numbers are 825, 482, 310, 658

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 482 :

The positive integer divisors of 482 that completely divides 482 are.

1, 2, 241, 482

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658


GCD of numbers is the greatest common divisor

So, the GCD (825, 482, 310, 658) = 1.

Find GCD of 825, 482, 310, 658 using Prime Factorization

Given numbers are 825, 482, 310, 658

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 482 are 2 x 241

Prime factors of 310 are 2 x 5 x 31

Prime factors of 658 are 2 x 7 x 47

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

Steps to Calculate GCD of 825, 482, 310, 658 using LCM Formula

Given numbers are 825, 482, 310, 658

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

Apply this formula for all numbers.

Step1:

LCM(825, 482) = 397650

GCD(825, 482) = ( 825 x 482 ) / 397650

= 825 / 482

= 825


Step2:

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

= 1 / 310

= 1


Step3:

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

= 1 / 658

= 1


So, Greatest Common Divisor of 825, 482, 310, 658 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 825, 482, 310, 658

Given numbers are 825, 482, 310, 658
The greatest common divisor of numbers 825, 482, 310, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 482, 310, 658 is 1.

FAQs on GCD of 825, 482, 310, 658 Calculator

1. What is the GCD of 825, 482, 310, 658?

GCD of given numbers 825, 482, 310, 658 is 1


2. How to calculate the greatest common divisor of 825, 482, 310, 658?

We can find the highest common divisor of 825, 482, 310, 658 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 825, 482, 310, 658 i.e 1.


3. How can I use the GCD of 825, 482, 310, 658Calculator?

Out the numbers 825, 482, 310, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.