GCD of 747, 123, 78, 632 Calculator

Given Input numbers are 747, 123, 78, 632

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 123

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

1, 3, 41, 123

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Greatest Common Divisior

We found the divisors of 747, 123, 78, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 123, 78, 632 is 1.

Therefore, GCD of numbers 747, 123, 78, 632 is 1

Given Input Data is 747, 123, 78, 632

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 123 is 3 x 41

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 632 is 2 x 2 x 2 x 79

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(747, 123) = 30627

GCD(747, 123) = ( 747 x 123 ) / 30627

GCD(747, 123) = 91881 / 30627

GCD(747, 123) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 78

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

LCM(3, 78) = 78

GCD(3, 78) = ( 3 x 78 ) / 78

GCD(3, 78) = 234 / 78

GCD(3, 78) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 632

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

LCM(3, 632) = 1896

GCD(3, 632) = ( 3 x 632 ) / 1896

GCD(3, 632) = 1896 / 1896

GCD(3, 632) = 1

GCD of 747, 123, 78, 632 is 1

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• GCD of 674, 150, 96, 246
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1. What is the GCD of 747, 123, 78, 632?

GCD of 747, 123, 78, 632 is 1

2. Where do I get the detailed procedure to find GCD of 747, 123, 78, 632?

You can find a detailed procedure to find GCD of 747, 123, 78, 632 on our page.

3. How to find GCD of 747, 123, 78, 632 on a calculator?

You can find the GCD of 747, 123, 78, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.