GCD of 154, 667, 963, 138 Calculator

Given Input numbers are 154, 667, 963, 138

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 963

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

1, 3, 9, 107, 321, 963

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 154, 667, 963, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 667, 963, 138 is 1.

Therefore, GCD of numbers 154, 667, 963, 138 is 1

Given Input Data is 154, 667, 963, 138

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 667 is 23 x 29

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 138 is 2 x 3 x 23

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(154, 667) = 102718

GCD(154, 667) = ( 154 x 667 ) / 102718

GCD(154, 667) = 102718 / 102718

GCD(154, 667) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 963

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

LCM(1, 963) = 963

GCD(1, 963) = ( 1 x 963 ) / 963

GCD(1, 963) = 963 / 963

GCD(1, 963) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 154, 667, 963, 138 is 1

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1. What is the GCD of 154, 667, 963, 138?

GCD of 154, 667, 963, 138 is 1

2. Where do I get the detailed procedure to find GCD of 154, 667, 963, 138?

You can find a detailed procedure to find GCD of 154, 667, 963, 138 on our page.

3. How to find GCD of 154, 667, 963, 138 on a calculator?

You can find the GCD of 154, 667, 963, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.