GCD of 980, 401, 945, 269 Calculator

Given Input numbers are 980, 401, 945, 269

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

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 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 980, 401, 945, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 401, 945, 269 is 1.

Therefore, GCD of numbers 980, 401, 945, 269 is 1

Given Input Data is 980, 401, 945, 269

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

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 401 is 401

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 269 is 269

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(980, 401) = 392980

GCD(980, 401) = ( 980 x 401 ) / 392980

GCD(980, 401) = 392980 / 392980

GCD(980, 401) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

GCD of 980, 401, 945, 269 is 1

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1. What is the GCD of 980, 401, 945, 269?

GCD of 980, 401, 945, 269 is 1

2. Where do I get the detailed procedure to find GCD of 980, 401, 945, 269?

You can find a detailed procedure to find GCD of 980, 401, 945, 269 on our page.

3. How to find GCD of 980, 401, 945, 269 on a calculator?

You can find the GCD of 980, 401, 945, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.