GCD of 651, 963, 564, 123 Calculator

Given Input numbers are 651, 963, 564, 123

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

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

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 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 651, 963, 564, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 651, 963, 564, 123 is 3.

Therefore, GCD of numbers 651, 963, 564, 123 is 3

Given Input Data is 651, 963, 564, 123

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

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 963 is 3 x 3 x 107

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

Prime Factorization of 123 is 3 x 41

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(651, 963) = 208971

GCD(651, 963) = ( 651 x 963 ) / 208971

GCD(651, 963) = 626913 / 208971

GCD(651, 963) = 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 123

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

LCM(3, 123) = 123

GCD(3, 123) = ( 3 x 123 ) / 123

GCD(3, 123) = 369 / 123

GCD(3, 123) = 3

GCD of 651, 963, 564, 123 is 3

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• GCD of 645, 573, 453, 457
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1. What is the GCD of 651, 963, 564, 123?

GCD of 651, 963, 564, 123 is 3

2. Where do I get the detailed procedure to find GCD of 651, 963, 564, 123?

You can find a detailed procedure to find GCD of 651, 963, 564, 123 on our page.

3. How to find GCD of 651, 963, 564, 123 on a calculator?

You can find the GCD of 651, 963, 564, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.