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GCD of 468, 375, 240, 697 Calculator

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


Online GCD Calculator is useful to find the GCD of 468, 375, 240, 697 quickly. Get the easiest ways to solve the greatest common divisor of 468, 375, 240, 697 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 468, 375, 240, 697 with Factoring?

Given Input numbers are 468, 375, 240, 697

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697


GCD of numbers is the greatest common divisor

So, the GCD (468, 375, 240, 697) = 1.

Find GCD of 468, 375, 240, 697 using Prime Factorization

Given numbers are 468, 375, 240, 697

The list of prime factors of all numbers are

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 697 are 17 x 41

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

Steps to Calculate GCD of 468, 375, 240, 697 using LCM Formula

Given numbers are 468, 375, 240, 697

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

Apply this formula for all numbers.

Step1:

LCM(468, 375) = 58500

GCD(468, 375) = ( 468 x 375 ) / 58500

= 468 / 375

= 468


Step2:

LCM(3, 240) = 240

GCD(3, 240) = ( 3 x 240 ) / 240

= 3 / 240

= 3


Step3:

LCM(3, 697) = 2091

GCD(3, 697) = ( 3 x 697 ) / 2091

= 3 / 697

= 3


So, Greatest Common Divisor of 468, 375, 240, 697 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 468, 375, 240, 697

Given numbers are 468, 375, 240, 697
The greatest common divisor of numbers 468, 375, 240, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 375, 240, 697 is 1.

FAQs on GCD of 468, 375, 240, 697 Calculator

1. What is the GCD of 468, 375, 240, 697?

GCD of given numbers 468, 375, 240, 697 is 1


2. How to calculate the greatest common divisor of 468, 375, 240, 697?

We can find the highest common divisor of 468, 375, 240, 697 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 468, 375, 240, 697 i.e 1.


3. How can I use the GCD of 468, 375, 240, 697Calculator?

Out the numbers 468, 375, 240, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.