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GCD of 916, 521, 225, 682 Calculator

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


Online GCD Calculator is useful to find the GCD of 916, 521, 225, 682 quickly. Get the easiest ways to solve the greatest common divisor of 916, 521, 225, 682 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 916, 521, 225, 682 with Factoring?

Given Input numbers are 916, 521, 225, 682

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682


GCD of numbers is the greatest common divisor

So, the GCD (916, 521, 225, 682) = 1.

Find GCD of 916, 521, 225, 682 using Prime Factorization

Given numbers are 916, 521, 225, 682

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 521 are 521

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 682 are 2 x 11 x 31

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

Steps to Calculate GCD of 916, 521, 225, 682 using LCM Formula

Given numbers are 916, 521, 225, 682

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

Apply this formula for all numbers.

Step1:

LCM(916, 521) = 477236

GCD(916, 521) = ( 916 x 521 ) / 477236

= 916 / 521

= 916


Step2:

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

= 1 / 225

= 1


Step3:

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

= 1 / 682

= 1


So, Greatest Common Divisor of 916, 521, 225, 682 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 916, 521, 225, 682

Given numbers are 916, 521, 225, 682
The greatest common divisor of numbers 916, 521, 225, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 521, 225, 682 is 1.

FAQs on GCD of 916, 521, 225, 682 Calculator

1. What is the GCD of 916, 521, 225, 682?

GCD of given numbers 916, 521, 225, 682 is 1


2. How to calculate the greatest common divisor of 916, 521, 225, 682?

We can find the highest common divisor of 916, 521, 225, 682 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 916, 521, 225, 682 i.e 1.


3. How can I use the GCD of 916, 521, 225, 682Calculator?

Out the numbers 916, 521, 225, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.