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GCD of 292, 702, 717, 225 Calculator

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


Online GCD Calculator is useful to find the GCD of 292, 702, 717, 225 quickly. Get the easiest ways to solve the greatest common divisor of 292, 702, 717, 225 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 292, 702, 717, 225 with Factoring?

Given Input numbers are 292, 702, 717, 225

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

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

Divisors of 225 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (292, 702, 717, 225) = 1.

Find GCD of 292, 702, 717, 225 using Prime Factorization

Given numbers are 292, 702, 717, 225

The list of prime factors of all numbers are

Prime factors of 292 are 2 x 2 x 73

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 717 are 3 x 239

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

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

Steps to Calculate GCD of 292, 702, 717, 225 using LCM Formula

Given numbers are 292, 702, 717, 225

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

Apply this formula for all numbers.

Step1:

LCM(292, 702) = 102492

GCD(292, 702) = ( 292 x 702 ) / 102492

= 292 / 702

= 292


Step2:

LCM(2, 717) = 1434

GCD(2, 717) = ( 2 x 717 ) / 1434

= 2 / 717

= 2


Step3:

LCM(1, 225) = 225

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

= 1 / 225

= 1


So, Greatest Common Divisor of 292, 702, 717, 225 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 292, 702, 717, 225

Given numbers are 292, 702, 717, 225
The greatest common divisor of numbers 292, 702, 717, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 292, 702, 717, 225 is 1.

FAQs on GCD of 292, 702, 717, 225 Calculator

1. What is the GCD of 292, 702, 717, 225?

GCD of given numbers 292, 702, 717, 225 is 1


2. How to calculate the greatest common divisor of 292, 702, 717, 225?

We can find the highest common divisor of 292, 702, 717, 225 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 292, 702, 717, 225 i.e 1.


3. How can I use the GCD of 292, 702, 717, 225Calculator?

Out the numbers 292, 702, 717, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.