GCD of 140, 980, 429, 971 Calculator

Given Input numbers are 140, 980, 429, 971

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 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 140, 980, 429, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 980, 429, 971 is 1.

Therefore, GCD of numbers 140, 980, 429, 971 is 1

Given Input Data is 140, 980, 429, 971

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 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 971 is 971

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, 980) = 980

GCD(140, 980) = ( 140 x 980 ) / 980

GCD(140, 980) = 137200 / 980

GCD(140, 980) = 140

Step2:

Here we consider the GCD from the above i.e. 140 as first number and the next as 429

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

LCM(140, 429) = 60060

GCD(140, 429) = ( 140 x 429 ) / 60060

GCD(140, 429) = 60060 / 60060

GCD(140, 429) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 140, 980, 429, 971 is 1

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1. What is the GCD of 140, 980, 429, 971?

GCD of 140, 980, 429, 971 is 1

2. Where do I get the detailed procedure to find GCD of 140, 980, 429, 971?

You can find a detailed procedure to find GCD of 140, 980, 429, 971 on our page.

3. How to find GCD of 140, 980, 429, 971 on a calculator?

You can find the GCD of 140, 980, 429, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.