GCD of 123, 635, 78, 467 Calculator

Given Input numbers are 123, 635, 78, 467

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

Divisors of 123

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

1, 3, 41, 123

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

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 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Greatest Common Divisior

We found the divisors of 123, 635, 78, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 635, 78, 467 is 1.

Therefore, GCD of numbers 123, 635, 78, 467 is 1

Given Input Data is 123, 635, 78, 467

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 635 is 5 x 127

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 467 is 467

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(123, 635) = 78105

GCD(123, 635) = ( 123 x 635 ) / 78105

GCD(123, 635) = 78105 / 78105

GCD(123, 635) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 467

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

LCM(1, 467) = 467

GCD(1, 467) = ( 1 x 467 ) / 467

GCD(1, 467) = 467 / 467

GCD(1, 467) = 1

GCD of 123, 635, 78, 467 is 1

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1. What is the GCD of 123, 635, 78, 467?

GCD of 123, 635, 78, 467 is 1

2. Where do I get the detailed procedure to find GCD of 123, 635, 78, 467?

You can find a detailed procedure to find GCD of 123, 635, 78, 467 on our page.

3. How to find GCD of 123, 635, 78, 467 on a calculator?

You can find the GCD of 123, 635, 78, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.