GCD of 138, 672, 79, 600 Calculator

Given Input numbers are 138, 672, 79, 600

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 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 138, 672, 79, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 672, 79, 600 is 1.

Therefore, GCD of numbers 138, 672, 79, 600 is 1

Given Input Data is 138, 672, 79, 600

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 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 79 is 79

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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, 672) = 15456

GCD(138, 672) = ( 138 x 672 ) / 15456

GCD(138, 672) = 92736 / 15456

GCD(138, 672) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 79

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

LCM(6, 79) = 474

GCD(6, 79) = ( 6 x 79 ) / 474

GCD(6, 79) = 474 / 474

GCD(6, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

GCD of 138, 672, 79, 600 is 1

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• GCD of 564, 821, 26, 433
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1. What is the GCD of 138, 672, 79, 600?

GCD of 138, 672, 79, 600 is 1

2. Where do I get the detailed procedure to find GCD of 138, 672, 79, 600?

You can find a detailed procedure to find GCD of 138, 672, 79, 600 on our page.

3. How to find GCD of 138, 672, 79, 600 on a calculator?

You can find the GCD of 138, 672, 79, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.