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GCD of 100, 427, 394, 522 Calculator

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


Online GCD Calculator is useful to find the GCD of 100, 427, 394, 522 quickly. Get the easiest ways to solve the greatest common divisor of 100, 427, 394, 522 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 100, 427, 394, 522 with Factoring?

Given Input numbers are 100, 427, 394, 522

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522


GCD of numbers is the greatest common divisor

So, the GCD (100, 427, 394, 522) = 1.

Find GCD of 100, 427, 394, 522 using Prime Factorization

Given numbers are 100, 427, 394, 522

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 427 are 7 x 61

Prime factors of 394 are 2 x 197

Prime factors of 522 are 2 x 3 x 3 x 29

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

Steps to Calculate GCD of 100, 427, 394, 522 using LCM Formula

Given numbers are 100, 427, 394, 522

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

Apply this formula for all numbers.

Step1:

LCM(100, 427) = 42700

GCD(100, 427) = ( 100 x 427 ) / 42700

= 100 / 427

= 100


Step2:

LCM(1, 394) = 394

GCD(1, 394) = ( 1 x 394 ) / 394

= 1 / 394

= 1


Step3:

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

= 1 / 522

= 1


So, Greatest Common Divisor of 100, 427, 394, 522 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 100, 427, 394, 522

Given numbers are 100, 427, 394, 522
The greatest common divisor of numbers 100, 427, 394, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 427, 394, 522 is 1.

FAQs on GCD of 100, 427, 394, 522 Calculator

1. What is the GCD of 100, 427, 394, 522?

GCD of given numbers 100, 427, 394, 522 is 1


2. How to calculate the greatest common divisor of 100, 427, 394, 522?

We can find the highest common divisor of 100, 427, 394, 522 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 100, 427, 394, 522 i.e 1.


3. How can I use the GCD of 100, 427, 394, 522Calculator?

Out the numbers 100, 427, 394, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.