GCD of 705, 644, 140, 931 Calculator

Given Input numbers are 705, 644, 140, 931

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Greatest Common Divisior

We found the divisors of 705, 644, 140, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 644, 140, 931 is 1.

Therefore, GCD of numbers 705, 644, 140, 931 is 1

Given Input Data is 705, 644, 140, 931

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 644 is 2 x 2 x 7 x 23

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

Prime Factorization of 931 is 7 x 7 x 19

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(705, 644) = 454020

GCD(705, 644) = ( 705 x 644 ) / 454020

GCD(705, 644) = 454020 / 454020

GCD(705, 644) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 931

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

LCM(1, 931) = 931

GCD(1, 931) = ( 1 x 931 ) / 931

GCD(1, 931) = 931 / 931

GCD(1, 931) = 1

GCD of 705, 644, 140, 931 is 1

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1. What is the GCD of 705, 644, 140, 931?

GCD of 705, 644, 140, 931 is 1

2. Where do I get the detailed procedure to find GCD of 705, 644, 140, 931?

You can find a detailed procedure to find GCD of 705, 644, 140, 931 on our page.

3. How to find GCD of 705, 644, 140, 931 on a calculator?

You can find the GCD of 705, 644, 140, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.