GCD of 991, 253, 89, 140 Calculator

Given Input numbers are 991, 253, 89, 140

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

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

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

Greatest Common Divisior

We found the divisors of 991, 253, 89, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 253, 89, 140 is 1.

Therefore, GCD of numbers 991, 253, 89, 140 is 1

Given Input Data is 991, 253, 89, 140

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

Prime Factorization of 991 is 991

Prime Factorization of 253 is 11 x 23

Prime Factorization of 89 is 89

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

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(991, 253) = 250723

GCD(991, 253) = ( 991 x 253 ) / 250723

GCD(991, 253) = 250723 / 250723

GCD(991, 253) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

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

GCD of 991, 253, 89, 140 is 1

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1. What is the GCD of 991, 253, 89, 140?

GCD of 991, 253, 89, 140 is 1

2. Where do I get the detailed procedure to find GCD of 991, 253, 89, 140?

You can find a detailed procedure to find GCD of 991, 253, 89, 140 on our page.

3. How to find GCD of 991, 253, 89, 140 on a calculator?

You can find the GCD of 991, 253, 89, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.