GCD of 273, 880, 101, 138 Calculator

Given Input numbers are 273, 880, 101, 138

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

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 273, 880, 101, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 880, 101, 138 is 1.

Therefore, GCD of numbers 273, 880, 101, 138 is 1

Given Input Data is 273, 880, 101, 138

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

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 101 is 101

Prime Factorization of 138 is 2 x 3 x 23

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(273, 880) = 240240

GCD(273, 880) = ( 273 x 880 ) / 240240

GCD(273, 880) = 240240 / 240240

GCD(273, 880) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 273, 880, 101, 138 is 1

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1. What is the GCD of 273, 880, 101, 138?

GCD of 273, 880, 101, 138 is 1

2. Where do I get the detailed procedure to find GCD of 273, 880, 101, 138?

You can find a detailed procedure to find GCD of 273, 880, 101, 138 on our page.

3. How to find GCD of 273, 880, 101, 138 on a calculator?

You can find the GCD of 273, 880, 101, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.