GCD of 135, 672, 564, 105 Calculator

Given Input numbers are 135, 672, 564, 105

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

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 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 135, 672, 564, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 672, 564, 105 is 3.

Therefore, GCD of numbers 135, 672, 564, 105 is 3

Given Input Data is 135, 672, 564, 105

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

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

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 105 is 3 x 5 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(135, 672) = 30240

GCD(135, 672) = ( 135 x 672 ) / 30240

GCD(135, 672) = 90720 / 30240

GCD(135, 672) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 564

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

LCM(3, 564) = 564

GCD(3, 564) = ( 3 x 564 ) / 564

GCD(3, 564) = 1692 / 564

GCD(3, 564) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 105

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

LCM(3, 105) = 105

GCD(3, 105) = ( 3 x 105 ) / 105

GCD(3, 105) = 315 / 105

GCD(3, 105) = 3

GCD of 135, 672, 564, 105 is 3

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1. What is the GCD of 135, 672, 564, 105?

GCD of 135, 672, 564, 105 is 3

2. Where do I get the detailed procedure to find GCD of 135, 672, 564, 105?

You can find a detailed procedure to find GCD of 135, 672, 564, 105 on our page.

3. How to find GCD of 135, 672, 564, 105 on a calculator?

You can find the GCD of 135, 672, 564, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.