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GCD of 325, 360, 917, 748 Calculator

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


Online GCD Calculator is useful to find the GCD of 325, 360, 917, 748 quickly. Get the easiest ways to solve the greatest common divisor of 325, 360, 917, 748 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 325, 360, 917, 748 with Factoring?

Given Input numbers are 325, 360, 917, 748

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

Divisors of 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748


GCD of numbers is the greatest common divisor

So, the GCD (325, 360, 917, 748) = 1.

Find GCD of 325, 360, 917, 748 using Prime Factorization

Given numbers are 325, 360, 917, 748

The list of prime factors of all numbers are

Prime factors of 325 are 5 x 5 x 13

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 917 are 7 x 131

Prime factors of 748 are 2 x 2 x 11 x 17

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

Steps to Calculate GCD of 325, 360, 917, 748 using LCM Formula

Given numbers are 325, 360, 917, 748

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

Apply this formula for all numbers.

Step1:

LCM(325, 360) = 23400

GCD(325, 360) = ( 325 x 360 ) / 23400

= 325 / 360

= 325


Step2:

LCM(5, 917) = 4585

GCD(5, 917) = ( 5 x 917 ) / 4585

= 5 / 917

= 5


Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1


So, Greatest Common Divisor of 325, 360, 917, 748 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 325, 360, 917, 748

Given numbers are 325, 360, 917, 748
The greatest common divisor of numbers 325, 360, 917, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 325, 360, 917, 748 is 1.

FAQs on GCD of 325, 360, 917, 748 Calculator

1. What is the GCD of 325, 360, 917, 748?

GCD of given numbers 325, 360, 917, 748 is 1


2. How to calculate the greatest common divisor of 325, 360, 917, 748?

We can find the highest common divisor of 325, 360, 917, 748 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 325, 360, 917, 748 i.e 1.


3. How can I use the GCD of 325, 360, 917, 748Calculator?

Out the numbers 325, 360, 917, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.