GCD of 153, 908, 742, 708 Calculator

Given Input numbers are 153, 908, 742, 708

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

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 153, 908, 742, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 908, 742, 708 is 1.

Therefore, GCD of numbers 153, 908, 742, 708 is 1

Given Input Data is 153, 908, 742, 708

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(153, 908) = 138924

GCD(153, 908) = ( 153 x 908 ) / 138924

GCD(153, 908) = 138924 / 138924

GCD(153, 908) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

GCD of 153, 908, 742, 708 is 1

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1. What is the GCD of 153, 908, 742, 708?

GCD of 153, 908, 742, 708 is 1

2. Where do I get the detailed procedure to find GCD of 153, 908, 742, 708?

You can find a detailed procedure to find GCD of 153, 908, 742, 708 on our page.

3. How to find GCD of 153, 908, 742, 708 on a calculator?

You can find the GCD of 153, 908, 742, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.