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GCD of 825, 641, 910, 313 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, 641, 910, 313 quickly. Get the easiest ways to solve the greatest common divisor of 825, 641, 910, 313 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 825, 641, 910, 313 with Factoring?

Given Input numbers are 825, 641, 910, 313

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 641 :

The positive integer divisors of 641 that completely divides 641 are.

1, 641

Divisors of 910 :

The positive integer divisors of 910 that completely divides 910 are.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313


GCD of numbers is the greatest common divisor

So, the GCD (825, 641, 910, 313) = 1.

Find GCD of 825, 641, 910, 313 using Prime Factorization

Given numbers are 825, 641, 910, 313

The list of prime factors of all numbers are

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

Prime factors of 641 are 641

Prime factors of 910 are 2 x 5 x 7 x 13

Prime factors of 313 are 313

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

Steps to Calculate GCD of 825, 641, 910, 313 using LCM Formula

Given numbers are 825, 641, 910, 313

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

Apply this formula for all numbers.

Step1:

LCM(825, 641) = 528825

GCD(825, 641) = ( 825 x 641 ) / 528825

= 825 / 641

= 825


Step2:

LCM(1, 910) = 910

GCD(1, 910) = ( 1 x 910 ) / 910

= 1 / 910

= 1


Step3:

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

= 1 / 313

= 1


So, Greatest Common Divisor of 825, 641, 910, 313 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 825, 641, 910, 313

Given numbers are 825, 641, 910, 313
The greatest common divisor of numbers 825, 641, 910, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 641, 910, 313 is 1.

FAQs on GCD of 825, 641, 910, 313 Calculator

1. What is the GCD of 825, 641, 910, 313?

GCD of given numbers 825, 641, 910, 313 is 1


2. How to calculate the greatest common divisor of 825, 641, 910, 313?

We can find the highest common divisor of 825, 641, 910, 313 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, 641, 910, 313 i.e 1.


3. How can I use the GCD of 825, 641, 910, 313Calculator?

Out the numbers 825, 641, 910, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.