GCD of 786, 561, 138, 147 Calculator

Given Input numbers are 786, 561, 138, 147

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

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

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 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 786, 561, 138, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 561, 138, 147 is 3.

Therefore, GCD of numbers 786, 561, 138, 147 is 3

Given Input Data is 786, 561, 138, 147

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

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 147 is 3 x 7 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(786, 561) = 146982

GCD(786, 561) = ( 786 x 561 ) / 146982

GCD(786, 561) = 440946 / 146982

GCD(786, 561) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 138

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

LCM(3, 138) = 138

GCD(3, 138) = ( 3 x 138 ) / 138

GCD(3, 138) = 414 / 138

GCD(3, 138) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 147

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

LCM(3, 147) = 147

GCD(3, 147) = ( 3 x 147 ) / 147

GCD(3, 147) = 441 / 147

GCD(3, 147) = 3

GCD of 786, 561, 138, 147 is 3

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1. What is the GCD of 786, 561, 138, 147?

GCD of 786, 561, 138, 147 is 3

2. Where do I get the detailed procedure to find GCD of 786, 561, 138, 147?

You can find a detailed procedure to find GCD of 786, 561, 138, 147 on our page.

3. How to find GCD of 786, 561, 138, 147 on a calculator?

You can find the GCD of 786, 561, 138, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.