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GCD of 108, 700, 577, 530 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, 700, 577, 530 quickly. Get the easiest ways to solve the greatest common divisor of 108, 700, 577, 530 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 108, 700, 577, 530 with Factoring?

Given Input numbers are 108, 700, 577, 530

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 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 577 :

The positive integer divisors of 577 that completely divides 577 are.

1, 577

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530


GCD of numbers is the greatest common divisor

So, the GCD (108, 700, 577, 530) = 1.

Find GCD of 108, 700, 577, 530 using Prime Factorization

Given numbers are 108, 700, 577, 530

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 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 577 are 577

Prime factors of 530 are 2 x 5 x 53

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

Steps to Calculate GCD of 108, 700, 577, 530 using LCM Formula

Given numbers are 108, 700, 577, 530

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

Apply this formula for all numbers.

Step1:

LCM(108, 700) = 18900

GCD(108, 700) = ( 108 x 700 ) / 18900

= 108 / 700

= 108


Step2:

LCM(4, 577) = 2308

GCD(4, 577) = ( 4 x 577 ) / 2308

= 4 / 577

= 4


Step3:

LCM(1, 530) = 530

GCD(1, 530) = ( 1 x 530 ) / 530

= 1 / 530

= 1


So, Greatest Common Divisor of 108, 700, 577, 530 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 108, 700, 577, 530

Given numbers are 108, 700, 577, 530
The greatest common divisor of numbers 108, 700, 577, 530 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 700, 577, 530 is 1.

FAQs on GCD of 108, 700, 577, 530 Calculator

1. What is the GCD of 108, 700, 577, 530?

GCD of given numbers 108, 700, 577, 530 is 1


2. How to calculate the greatest common divisor of 108, 700, 577, 530?

We can find the highest common divisor of 108, 700, 577, 530 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, 700, 577, 530 i.e 1.


3. How can I use the GCD of 108, 700, 577, 530Calculator?

Out the numbers 108, 700, 577, 530 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.