GCD of 220, 135, 945 Calculator

Given Input numbers are 220, 135, 945

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 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

Greatest Common Divisior

We found the divisors of 220, 135, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 135, 945 is 5.

Therefore, GCD of numbers 220, 135, 945 is 5

Given Input Data is 220, 135, 945

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 945 is 3 x 3 x 3 x 5 x 7

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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 945

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

LCM(5, 945) = 945

GCD(5, 945) = ( 5 x 945 ) / 945

GCD(5, 945) = 4725 / 945

GCD(5, 945) = 5

GCD of 220, 135, 945 is 5

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• GCD of 135, 267, 543
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1. What is the GCD of 220, 135, 945?

GCD of 220, 135, 945 is 5

2. Where do I get the detailed procedure to find GCD of 220, 135, 945?

You can find a detailed procedure to find GCD of 220, 135, 945 on our page.

3. How to find GCD of 220, 135, 945 on a calculator?

You can find the GCD of 220, 135, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.