GCD of 271, 980, 69, 832 Calculator

Given Input numbers are 271, 980, 69, 832

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

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

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 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Greatest Common Divisior

We found the divisors of 271, 980, 69, 832 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 980, 69, 832 is 1.

Therefore, GCD of numbers 271, 980, 69, 832 is 1

Given Input Data is 271, 980, 69, 832

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

Prime Factorization of 271 is 271

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

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(271, 980) = 265580

GCD(271, 980) = ( 271 x 980 ) / 265580

GCD(271, 980) = 265580 / 265580

GCD(271, 980) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 832

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

LCM(1, 832) = 832

GCD(1, 832) = ( 1 x 832 ) / 832

GCD(1, 832) = 832 / 832

GCD(1, 832) = 1

GCD of 271, 980, 69, 832 is 1

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1. What is the GCD of 271, 980, 69, 832?

GCD of 271, 980, 69, 832 is 1

2. Where do I get the detailed procedure to find GCD of 271, 980, 69, 832?

You can find a detailed procedure to find GCD of 271, 980, 69, 832 on our page.

3. How to find GCD of 271, 980, 69, 832 on a calculator?

You can find the GCD of 271, 980, 69, 832 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.