LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 258, 565, 425, 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 258, 565, 425, 198 quickly. Get the easiest ways to solve the greatest common divisor of 258, 565, 425, 198 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 258, 565, 425, 198 with Factoring?

Given Input numbers are 258, 565, 425, 198

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

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

Divisors of 425 :

The positive integer divisors of 425 that completely divides 425 are.

1, 5, 17, 25, 85, 425

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 (258, 565, 425, 198) = 1.

Find GCD of 258, 565, 425, 198 using Prime Factorization

Given numbers are 258, 565, 425, 198

The list of prime factors of all numbers are

Prime factors of 258 are 2 x 3 x 43

Prime factors of 565 are 5 x 113

Prime factors of 425 are 5 x 5 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 258, 565, 425, 198 using LCM Formula

Given numbers are 258, 565, 425, 198

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

Apply this formula for all numbers.

Step1:

LCM(258, 565) = 145770

GCD(258, 565) = ( 258 x 565 ) / 145770

= 258 / 565

= 258


Step2:

LCM(1, 425) = 425

GCD(1, 425) = ( 1 x 425 ) / 425

= 1 / 425

= 1


Step3:

LCM(1, 198) = 198

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

= 1 / 198

= 1


So, Greatest Common Divisor of 258, 565, 425, 198 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 258, 565, 425, 198

Given numbers are 258, 565, 425, 198
The greatest common divisor of numbers 258, 565, 425, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 258, 565, 425, 198 is 1.

FAQs on GCD of 258, 565, 425, 198 Calculator

1. What is the GCD of 258, 565, 425, 198?

GCD of given numbers 258, 565, 425, 198 is 1


2. How to calculate the greatest common divisor of 258, 565, 425, 198?

We can find the highest common divisor of 258, 565, 425, 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 258, 565, 425, 198 i.e 1.


3. How can I use the GCD of 258, 565, 425, 198Calculator?

Out the numbers 258, 565, 425, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.