GCD of 140, 677, 763, 205 Calculator

Given Input numbers are 140, 677, 763, 205

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 677

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

1, 677

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 140, 677, 763, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 677, 763, 205 is 1.

Therefore, GCD of numbers 140, 677, 763, 205 is 1

Given Input Data is 140, 677, 763, 205

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 677 is 677

Prime Factorization of 763 is 7 x 109

Prime Factorization of 205 is 5 x 41

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, 677) = 94780

GCD(140, 677) = ( 140 x 677 ) / 94780

GCD(140, 677) = 94780 / 94780

GCD(140, 677) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

GCD of 140, 677, 763, 205 is 1

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1. What is the GCD of 140, 677, 763, 205?

GCD of 140, 677, 763, 205 is 1

2. Where do I get the detailed procedure to find GCD of 140, 677, 763, 205?

You can find a detailed procedure to find GCD of 140, 677, 763, 205 on our page.

3. How to find GCD of 140, 677, 763, 205 on a calculator?

You can find the GCD of 140, 677, 763, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.