GCD of 138, 679, 48, 776 Calculator

Given Input numbers are 138, 679, 48, 776

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

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 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Greatest Common Divisior

We found the divisors of 138, 679, 48, 776 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 679, 48, 776 is 1.

Therefore, GCD of numbers 138, 679, 48, 776 is 1

Given Input Data is 138, 679, 48, 776

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 679 is 7 x 97

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 776 is 2 x 2 x 2 x 97

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(138, 679) = 93702

GCD(138, 679) = ( 138 x 679 ) / 93702

GCD(138, 679) = 93702 / 93702

GCD(138, 679) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 776

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

LCM(1, 776) = 776

GCD(1, 776) = ( 1 x 776 ) / 776

GCD(1, 776) = 776 / 776

GCD(1, 776) = 1

GCD of 138, 679, 48, 776 is 1

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1. What is the GCD of 138, 679, 48, 776?

GCD of 138, 679, 48, 776 is 1

2. Where do I get the detailed procedure to find GCD of 138, 679, 48, 776?

You can find a detailed procedure to find GCD of 138, 679, 48, 776 on our page.

3. How to find GCD of 138, 679, 48, 776 on a calculator?

You can find the GCD of 138, 679, 48, 776 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.