GCD of 102, 858, 475, 677 Calculator

Given Input numbers are 102, 858, 475, 677

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 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 677

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

1, 677

Greatest Common Divisior

We found the divisors of 102, 858, 475, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 858, 475, 677 is 1.

Therefore, GCD of numbers 102, 858, 475, 677 is 1

Given Input Data is 102, 858, 475, 677

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 858 is 2 x 3 x 11 x 13

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 677 is 677

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, 858) = 14586

GCD(102, 858) = ( 102 x 858 ) / 14586

GCD(102, 858) = 87516 / 14586

GCD(102, 858) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 475

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

LCM(6, 475) = 2850

GCD(6, 475) = ( 6 x 475 ) / 2850

GCD(6, 475) = 2850 / 2850

GCD(6, 475) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

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

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 102, 858, 475, 677 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 984, 185, 343, 322
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• GCD of 685, 323, 614, 546

1. What is the GCD of 102, 858, 475, 677?

GCD of 102, 858, 475, 677 is 1

2. Where do I get the detailed procedure to find GCD of 102, 858, 475, 677?

You can find a detailed procedure to find GCD of 102, 858, 475, 677 on our page.

3. How to find GCD of 102, 858, 475, 677 on a calculator?

You can find the GCD of 102, 858, 475, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.