GCD of 238, 917, 45, 707 Calculator

Given Input numbers are 238, 917, 45, 707

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 238, 917, 45, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 917, 45, 707 is 1.

Therefore, GCD of numbers 238, 917, 45, 707 is 1

Given Input Data is 238, 917, 45, 707

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 917 is 7 x 131

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 707 is 7 x 101

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(238, 917) = 31178

GCD(238, 917) = ( 238 x 917 ) / 31178

GCD(238, 917) = 218246 / 31178

GCD(238, 917) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 45

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

LCM(7, 45) = 315

GCD(7, 45) = ( 7 x 45 ) / 315

GCD(7, 45) = 315 / 315

GCD(7, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 707

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

LCM(1, 707) = 707

GCD(1, 707) = ( 1 x 707 ) / 707

GCD(1, 707) = 707 / 707

GCD(1, 707) = 1

GCD of 238, 917, 45, 707 is 1

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1. What is the GCD of 238, 917, 45, 707?

GCD of 238, 917, 45, 707 is 1

2. Where do I get the detailed procedure to find GCD of 238, 917, 45, 707?

You can find a detailed procedure to find GCD of 238, 917, 45, 707 on our page.

3. How to find GCD of 238, 917, 45, 707 on a calculator?

You can find the GCD of 238, 917, 45, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.