GCD of 21, 870, 710, 677 Calculator

Given Input numbers are 21, 870, 710, 677

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

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 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

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 21, 870, 710, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 870, 710, 677 is 1.

Therefore, GCD of numbers 21, 870, 710, 677 is 1

Given Input Data is 21, 870, 710, 677

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

Prime Factorization of 21 is 3 x 7

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

Prime Factorization of 710 is 2 x 5 x 71

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(21, 870) = 6090

GCD(21, 870) = ( 21 x 870 ) / 6090

GCD(21, 870) = 18270 / 6090

GCD(21, 870) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 710

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

LCM(3, 710) = 2130

GCD(3, 710) = ( 3 x 710 ) / 2130

GCD(3, 710) = 2130 / 2130

GCD(3, 710) = 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 21, 870, 710, 677 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 46, 531, 247, 365
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• GCD of 35, 532, 520, 987

1. What is the GCD of 21, 870, 710, 677?

GCD of 21, 870, 710, 677 is 1

2. Where do I get the detailed procedure to find GCD of 21, 870, 710, 677?

You can find a detailed procedure to find GCD of 21, 870, 710, 677 on our page.

3. How to find GCD of 21, 870, 710, 677 on a calculator?

You can find the GCD of 21, 870, 710, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.