GCD of 138, 565, 450, 748 Calculator

Given Input numbers are 138, 565, 450, 748

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 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 138, 565, 450, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 565, 450, 748 is 1.

Therefore, GCD of numbers 138, 565, 450, 748 is 1

Given Input Data is 138, 565, 450, 748

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 565 is 5 x 113

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 748 is 2 x 2 x 11 x 17

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, 565) = 77970

GCD(138, 565) = ( 138 x 565 ) / 77970

GCD(138, 565) = 77970 / 77970

GCD(138, 565) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 138, 565, 450, 748 is 1

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1. What is the GCD of 138, 565, 450, 748?

GCD of 138, 565, 450, 748 is 1

2. Where do I get the detailed procedure to find GCD of 138, 565, 450, 748?

You can find a detailed procedure to find GCD of 138, 565, 450, 748 on our page.

3. How to find GCD of 138, 565, 450, 748 on a calculator?

You can find the GCD of 138, 565, 450, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.