GCD of 220, 135, 138, 892 Calculator

Given Input numbers are 220, 135, 138, 892

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

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 138

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

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

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 220, 135, 138, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 135, 138, 892 is 1.

Therefore, GCD of numbers 220, 135, 138, 892 is 1

Given Input Data is 220, 135, 138, 892

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 892 is 2 x 2 x 223

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(220, 135) = 5940

GCD(220, 135) = ( 220 x 135 ) / 5940

GCD(220, 135) = 29700 / 5940

GCD(220, 135) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 138

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

LCM(5, 138) = 690

GCD(5, 138) = ( 5 x 138 ) / 690

GCD(5, 138) = 690 / 690

GCD(5, 138) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

GCD of 220, 135, 138, 892 is 1

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1. What is the GCD of 220, 135, 138, 892?

GCD of 220, 135, 138, 892 is 1

2. Where do I get the detailed procedure to find GCD of 220, 135, 138, 892?

You can find a detailed procedure to find GCD of 220, 135, 138, 892 on our page.

3. How to find GCD of 220, 135, 138, 892 on a calculator?

You can find the GCD of 220, 135, 138, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.