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GCD of 521, 504, 119, 198 Calculator

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


Online GCD Calculator is useful to find the GCD of 521, 504, 119, 198 quickly. Get the easiest ways to solve the greatest common divisor of 521, 504, 119, 198 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 521, 504, 119, 198 with Factoring?

Given Input numbers are 521, 504, 119, 198

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

Divisors of 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 119 :

The positive integer divisors of 119 that completely divides 119 are.

1, 7, 17, 119

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198


GCD of numbers is the greatest common divisor

So, the GCD (521, 504, 119, 198) = 1.

Find GCD of 521, 504, 119, 198 using Prime Factorization

Given numbers are 521, 504, 119, 198

The list of prime factors of all numbers are

Prime factors of 521 are 521

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 119 are 7 x 17

Prime factors of 198 are 2 x 3 x 3 x 11

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

Steps to Calculate GCD of 521, 504, 119, 198 using LCM Formula

Given numbers are 521, 504, 119, 198

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

Apply this formula for all numbers.

Step1:

LCM(521, 504) = 262584

GCD(521, 504) = ( 521 x 504 ) / 262584

= 521 / 504

= 521


Step2:

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

= 1 / 119

= 1


Step3:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1


So, Greatest Common Divisor of 521, 504, 119, 198 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 521, 504, 119, 198

Given numbers are 521, 504, 119, 198
The greatest common divisor of numbers 521, 504, 119, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 521, 504, 119, 198 is 1.

FAQs on GCD of 521, 504, 119, 198 Calculator

1. What is the GCD of 521, 504, 119, 198?

GCD of given numbers 521, 504, 119, 198 is 1


2. How to calculate the greatest common divisor of 521, 504, 119, 198?

We can find the highest common divisor of 521, 504, 119, 198 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 521, 504, 119, 198 i.e 1.


3. How can I use the GCD of 521, 504, 119, 198Calculator?

Out the numbers 521, 504, 119, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.