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GCD of 760, 898, 702, 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 760, 898, 702, 225 quickly. Get the easiest ways to solve the greatest common divisor of 760, 898, 702, 225 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 760, 898, 702, 225 with Factoring?

Given Input numbers are 760, 898, 702, 225

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

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

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 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 (760, 898, 702, 225) = 1.

Find GCD of 760, 898, 702, 225 using Prime Factorization

Given numbers are 760, 898, 702, 225

The list of prime factors of all numbers are

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 898 are 2 x 449

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

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 760, 898, 702, 225 using LCM Formula

Given numbers are 760, 898, 702, 225

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

Apply this formula for all numbers.

Step1:

LCM(760, 898) = 341240

GCD(760, 898) = ( 760 x 898 ) / 341240

= 760 / 898

= 760


Step2:

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

= 2 / 702

= 2


Step3:

LCM(2, 225) = 450

GCD(2, 225) = ( 2 x 225 ) / 450

= 2 / 225

= 2


So, Greatest Common Divisor of 760, 898, 702, 225 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 760, 898, 702, 225

Given numbers are 760, 898, 702, 225
The greatest common divisor of numbers 760, 898, 702, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 898, 702, 225 is 1.

FAQs on GCD of 760, 898, 702, 225 Calculator

1. What is the GCD of 760, 898, 702, 225?

GCD of given numbers 760, 898, 702, 225 is 1


2. How to calculate the greatest common divisor of 760, 898, 702, 225?

We can find the highest common divisor of 760, 898, 702, 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 760, 898, 702, 225 i.e 1.


3. How can I use the GCD of 760, 898, 702, 225Calculator?

Out the numbers 760, 898, 702, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.