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GCD of 240, 688, 655, 687 Calculator

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


Online GCD Calculator is useful to find the GCD of 240, 688, 655, 687 quickly. Get the easiest ways to solve the greatest common divisor of 240, 688, 655, 687 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 240, 688, 655, 687 with Factoring?

Given Input numbers are 240, 688, 655, 687

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

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 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687


GCD of numbers is the greatest common divisor

So, the GCD (240, 688, 655, 687) = 1.

Find GCD of 240, 688, 655, 687 using Prime Factorization

Given numbers are 240, 688, 655, 687

The list of prime factors of all numbers are

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

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 655 are 5 x 131

Prime factors of 687 are 3 x 229

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

Steps to Calculate GCD of 240, 688, 655, 687 using LCM Formula

Given numbers are 240, 688, 655, 687

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

Apply this formula for all numbers.

Step1:

LCM(240, 688) = 10320

GCD(240, 688) = ( 240 x 688 ) / 10320

= 240 / 688

= 240


Step2:

LCM(16, 655) = 10480

GCD(16, 655) = ( 16 x 655 ) / 10480

= 16 / 655

= 16


Step3:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1


So, Greatest Common Divisor of 240, 688, 655, 687 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 240, 688, 655, 687

Given numbers are 240, 688, 655, 687
The greatest common divisor of numbers 240, 688, 655, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 688, 655, 687 is 1.

FAQs on GCD of 240, 688, 655, 687 Calculator

1. What is the GCD of 240, 688, 655, 687?

GCD of given numbers 240, 688, 655, 687 is 1


2. How to calculate the greatest common divisor of 240, 688, 655, 687?

We can find the highest common divisor of 240, 688, 655, 687 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 240, 688, 655, 687 i.e 1.


3. How can I use the GCD of 240, 688, 655, 687Calculator?

Out the numbers 240, 688, 655, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.