GCD of 237, 616, 748, 173 Calculator

Given Input numbers are 237, 616, 748, 173

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

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Greatest Common Divisior

We found the divisors of 237, 616, 748, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 237, 616, 748, 173 is 1.

Therefore, GCD of numbers 237, 616, 748, 173 is 1

Given Input Data is 237, 616, 748, 173

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

Prime Factorization of 237 is 3 x 79

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

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

Prime Factorization of 173 is 173

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(237, 616) = 145992

GCD(237, 616) = ( 237 x 616 ) / 145992

GCD(237, 616) = 145992 / 145992

GCD(237, 616) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 173

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

LCM(1, 173) = 173

GCD(1, 173) = ( 1 x 173 ) / 173

GCD(1, 173) = 173 / 173

GCD(1, 173) = 1

GCD of 237, 616, 748, 173 is 1

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1. What is the GCD of 237, 616, 748, 173?

GCD of 237, 616, 748, 173 is 1

2. Where do I get the detailed procedure to find GCD of 237, 616, 748, 173?

You can find a detailed procedure to find GCD of 237, 616, 748, 173 on our page.

3. How to find GCD of 237, 616, 748, 173 on a calculator?

You can find the GCD of 237, 616, 748, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.