GCD of 102, 870, 677, 643 Calculator

Given Input numbers are 102, 870, 677, 643

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

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

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 102, 870, 677, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 870, 677, 643 is 1.

Therefore, GCD of numbers 102, 870, 677, 643 is 1

Given Input Data is 102, 870, 677, 643

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 677 is 677

Prime Factorization of 643 is 643

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(102, 870) = 14790

GCD(102, 870) = ( 102 x 870 ) / 14790

GCD(102, 870) = 88740 / 14790

GCD(102, 870) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 677

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

LCM(6, 677) = 4062

GCD(6, 677) = ( 6 x 677 ) / 4062

GCD(6, 677) = 4062 / 4062

GCD(6, 677) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

GCD of 102, 870, 677, 643 is 1

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1. What is the GCD of 102, 870, 677, 643?

GCD of 102, 870, 677, 643 is 1

2. Where do I get the detailed procedure to find GCD of 102, 870, 677, 643?

You can find a detailed procedure to find GCD of 102, 870, 677, 643 on our page.

3. How to find GCD of 102, 870, 677, 643 on a calculator?

You can find the GCD of 102, 870, 677, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.