GCD of 269, 252, 980, 395 Calculator

Given Input numbers are 269, 252, 980, 395

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

Divisors of 269

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

1, 269

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Greatest Common Divisior

We found the divisors of 269, 252, 980, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 252, 980, 395 is 1.

Therefore, GCD of numbers 269, 252, 980, 395 is 1

Given Input Data is 269, 252, 980, 395

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

Prime Factorization of 269 is 269

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

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

Prime Factorization of 395 is 5 x 79

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(269, 252) = 67788

GCD(269, 252) = ( 269 x 252 ) / 67788

GCD(269, 252) = 67788 / 67788

GCD(269, 252) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 395

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

LCM(1, 395) = 395

GCD(1, 395) = ( 1 x 395 ) / 395

GCD(1, 395) = 395 / 395

GCD(1, 395) = 1

GCD of 269, 252, 980, 395 is 1

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1. What is the GCD of 269, 252, 980, 395?

GCD of 269, 252, 980, 395 is 1

2. Where do I get the detailed procedure to find GCD of 269, 252, 980, 395?

You can find a detailed procedure to find GCD of 269, 252, 980, 395 on our page.

3. How to find GCD of 269, 252, 980, 395 on a calculator?

You can find the GCD of 269, 252, 980, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.