GCD of 140, 510, 682, 637 Calculator

Given Input numbers are 140, 510, 682, 637

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

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Greatest Common Divisior

We found the divisors of 140, 510, 682, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 510, 682, 637 is 1.

Therefore, GCD of numbers 140, 510, 682, 637 is 1

Given Input Data is 140, 510, 682, 637

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

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 637 is 7 x 7 x 13

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(140, 510) = 7140

GCD(140, 510) = ( 140 x 510 ) / 7140

GCD(140, 510) = 71400 / 7140

GCD(140, 510) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 682

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

LCM(10, 682) = 3410

GCD(10, 682) = ( 10 x 682 ) / 3410

GCD(10, 682) = 6820 / 3410

GCD(10, 682) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 637

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

LCM(2, 637) = 1274

GCD(2, 637) = ( 2 x 637 ) / 1274

GCD(2, 637) = 1274 / 1274

GCD(2, 637) = 1

GCD of 140, 510, 682, 637 is 1

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1. What is the GCD of 140, 510, 682, 637?

GCD of 140, 510, 682, 637 is 1

2. Where do I get the detailed procedure to find GCD of 140, 510, 682, 637?

You can find a detailed procedure to find GCD of 140, 510, 682, 637 on our page.

3. How to find GCD of 140, 510, 682, 637 on a calculator?

You can find the GCD of 140, 510, 682, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.