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GCD of 852, 513, 203, 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 852, 513, 203, 198 quickly. Get the easiest ways to solve the greatest common divisor of 852, 513, 203, 198 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 852, 513, 203, 198 with Factoring?

Given Input numbers are 852, 513, 203, 198

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 203 :

The positive integer divisors of 203 that completely divides 203 are.

1, 7, 29, 203

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 (852, 513, 203, 198) = 1.

Find GCD of 852, 513, 203, 198 using Prime Factorization

Given numbers are 852, 513, 203, 198

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 203 are 7 x 29

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 852, 513, 203, 198 using LCM Formula

Given numbers are 852, 513, 203, 198

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

Apply this formula for all numbers.

Step1:

LCM(852, 513) = 145692

GCD(852, 513) = ( 852 x 513 ) / 145692

= 852 / 513

= 852


Step2:

LCM(3, 203) = 609

GCD(3, 203) = ( 3 x 203 ) / 609

= 3 / 203

= 3


Step3:

LCM(1, 198) = 198

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

= 1 / 198

= 1


So, Greatest Common Divisor of 852, 513, 203, 198 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 852, 513, 203, 198

Given numbers are 852, 513, 203, 198
The greatest common divisor of numbers 852, 513, 203, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 513, 203, 198 is 1.

FAQs on GCD of 852, 513, 203, 198 Calculator

1. What is the GCD of 852, 513, 203, 198?

GCD of given numbers 852, 513, 203, 198 is 1


2. How to calculate the greatest common divisor of 852, 513, 203, 198?

We can find the highest common divisor of 852, 513, 203, 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 852, 513, 203, 198 i.e 1.


3. How can I use the GCD of 852, 513, 203, 198Calculator?

Out the numbers 852, 513, 203, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.