GCD of 140, 778, 657, 491 Calculator

Given Input numbers are 140, 778, 657, 491

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 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 140, 778, 657, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 778, 657, 491 is 1.

Therefore, GCD of numbers 140, 778, 657, 491 is 1

Given Input Data is 140, 778, 657, 491

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 778 is 2 x 389

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 491 is 491

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, 778) = 54460

GCD(140, 778) = ( 140 x 778 ) / 54460

GCD(140, 778) = 108920 / 54460

GCD(140, 778) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 657

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

LCM(2, 657) = 1314

GCD(2, 657) = ( 2 x 657 ) / 1314

GCD(2, 657) = 1314 / 1314

GCD(2, 657) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 1

GCD of 140, 778, 657, 491 is 1

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1. What is the GCD of 140, 778, 657, 491?

GCD of 140, 778, 657, 491 is 1

2. Where do I get the detailed procedure to find GCD of 140, 778, 657, 491?

You can find a detailed procedure to find GCD of 140, 778, 657, 491 on our page.

3. How to find GCD of 140, 778, 657, 491 on a calculator?

You can find the GCD of 140, 778, 657, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.