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GCD of 102, 326, 987, 677 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, 326, 987, 677 quickly. Get the easiest ways to solve the greatest common divisor of 102, 326, 987, 677 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 102, 326, 987, 677 with Factoring?

Given Input numbers are 102, 326, 987, 677

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 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677


GCD of numbers is the greatest common divisor

So, the GCD (102, 326, 987, 677) = 1.

Find GCD of 102, 326, 987, 677 using Prime Factorization

Given numbers are 102, 326, 987, 677

The list of prime factors of all numbers are

Prime factors of 102 are 2 x 3 x 17

Prime factors of 326 are 2 x 163

Prime factors of 987 are 3 x 7 x 47

Prime factors of 677 are 677

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

Steps to Calculate GCD of 102, 326, 987, 677 using LCM Formula

Given numbers are 102, 326, 987, 677

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

Apply this formula for all numbers.

Step1:

LCM(102, 326) = 16626

GCD(102, 326) = ( 102 x 326 ) / 16626

= 102 / 326

= 102


Step2:

LCM(2, 987) = 1974

GCD(2, 987) = ( 2 x 987 ) / 1974

= 2 / 987

= 2


Step3:

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

= 1 / 677

= 1


So, Greatest Common Divisor of 102, 326, 987, 677 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 102, 326, 987, 677

Given numbers are 102, 326, 987, 677
The greatest common divisor of numbers 102, 326, 987, 677 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 326, 987, 677 is 1.

FAQs on GCD of 102, 326, 987, 677 Calculator

1. What is the GCD of 102, 326, 987, 677?

GCD of given numbers 102, 326, 987, 677 is 1


2. How to calculate the greatest common divisor of 102, 326, 987, 677?

We can find the highest common divisor of 102, 326, 987, 677 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, 326, 987, 677 i.e 1.


3. How can I use the GCD of 102, 326, 987, 677Calculator?

Out the numbers 102, 326, 987, 677 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.