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GCD of 695, 759, 240 Calculator

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


Online GCD Calculator is useful to find the GCD of 695, 759, 240 quickly. Get the easiest ways to solve the greatest common divisor of 695, 759, 240 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 695, 759, 240 with Factoring?

Given Input numbers are 695, 759, 240

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

Divisors of 695 :

The positive integer divisors of 695 that completely divides 695 are.

1, 5, 139, 695

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

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


GCD of numbers is the greatest common divisor

So, the GCD (695, 759, 240) = 1.

Find GCD of 695, 759, 240 using Prime Factorization

Given numbers are 695, 759, 240

The list of prime factors of all numbers are

Prime factors of 695 are 5 x 139

Prime factors of 759 are 3 x 11 x 23

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

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

Steps to Calculate GCD of 695, 759, 240 using LCM Formula

Given numbers are 695, 759, 240

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

Apply this formula for all numbers.

Step1:

LCM(695, 759) = 527505

GCD(695, 759) = ( 695 x 759 ) / 527505

= 695 / 759

= 695


Step2:

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

= 1 / 240

= 1


So, Greatest Common Divisor of 695, 759, 240 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 695, 759, 240

Given numbers are 695, 759, 240
The greatest common divisor of numbers 695, 759, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 695, 759, 240 is 1.

FAQs on GCD of 695, 759, 240 Calculator

1. What is the GCD of 695, 759, 240?

GCD of given numbers 695, 759, 240 is 1


2. How to calculate the greatest common divisor of 695, 759, 240?

We can find the highest common divisor of 695, 759, 240 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 695, 759, 240 i.e 1.


3. How can I use the GCD of 695, 759, 240Calculator?

Out the numbers 695, 759, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.