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GCD of 102, 421, 164, 675 Calculator

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


Online GCD Calculator is useful to find the GCD of 102, 421, 164, 675 quickly. Get the easiest ways to solve the greatest common divisor of 102, 421, 164, 675 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 102, 421, 164, 675 with Factoring?

Given Input numbers are 102, 421, 164, 675

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

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675


GCD of numbers is the greatest common divisor

So, the GCD (102, 421, 164, 675) = 1.

Find GCD of 102, 421, 164, 675 using Prime Factorization

Given numbers are 102, 421, 164, 675

The list of prime factors of all numbers are

Prime factors of 102 are 2 x 3 x 17

Prime factors of 421 are 421

Prime factors of 164 are 2 x 2 x 41

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

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

Steps to Calculate GCD of 102, 421, 164, 675 using LCM Formula

Given numbers are 102, 421, 164, 675

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

Apply this formula for all numbers.

Step1:

LCM(102, 421) = 42942

GCD(102, 421) = ( 102 x 421 ) / 42942

= 102 / 421

= 102


Step2:

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

= 1 / 164

= 1


Step3:

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

= 1 / 675

= 1


So, Greatest Common Divisor of 102, 421, 164, 675 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 102, 421, 164, 675

Given numbers are 102, 421, 164, 675
The greatest common divisor of numbers 102, 421, 164, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 421, 164, 675 is 1.

FAQs on GCD of 102, 421, 164, 675 Calculator

1. What is the GCD of 102, 421, 164, 675?

GCD of given numbers 102, 421, 164, 675 is 1


2. How to calculate the greatest common divisor of 102, 421, 164, 675?

We can find the highest common divisor of 102, 421, 164, 675 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 102, 421, 164, 675 i.e 1.


3. How can I use the GCD of 102, 421, 164, 675Calculator?

Out the numbers 102, 421, 164, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.