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GCD of 108, 520, 703, 680 Calculator

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


Online GCD Calculator is useful to find the GCD of 108, 520, 703, 680 quickly. Get the easiest ways to solve the greatest common divisor of 108, 520, 703, 680 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 108, 520, 703, 680 with Factoring?

Given Input numbers are 108, 520, 703, 680

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 703 :

The positive integer divisors of 703 that completely divides 703 are.

1, 19, 37, 703

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680


GCD of numbers is the greatest common divisor

So, the GCD (108, 520, 703, 680) = 1.

Find GCD of 108, 520, 703, 680 using Prime Factorization

Given numbers are 108, 520, 703, 680

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 703 are 19 x 37

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

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

Steps to Calculate GCD of 108, 520, 703, 680 using LCM Formula

Given numbers are 108, 520, 703, 680

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

Apply this formula for all numbers.

Step1:

LCM(108, 520) = 14040

GCD(108, 520) = ( 108 x 520 ) / 14040

= 108 / 520

= 108


Step2:

LCM(4, 703) = 2812

GCD(4, 703) = ( 4 x 703 ) / 2812

= 4 / 703

= 4


Step3:

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

= 1 / 680

= 1


So, Greatest Common Divisor of 108, 520, 703, 680 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 108, 520, 703, 680

Given numbers are 108, 520, 703, 680
The greatest common divisor of numbers 108, 520, 703, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 520, 703, 680 is 1.

FAQs on GCD of 108, 520, 703, 680 Calculator

1. What is the GCD of 108, 520, 703, 680?

GCD of given numbers 108, 520, 703, 680 is 1


2. How to calculate the greatest common divisor of 108, 520, 703, 680?

We can find the highest common divisor of 108, 520, 703, 680 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 108, 520, 703, 680 i.e 1.


3. How can I use the GCD of 108, 520, 703, 680Calculator?

Out the numbers 108, 520, 703, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.