GCD of 917, 800, 172, 740 Calculator

Given Input numbers are 917, 800, 172, 740

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

Divisors of 917

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

1, 7, 131, 917

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 917, 800, 172, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 800, 172, 740 is 1.

Therefore, GCD of numbers 917, 800, 172, 740 is 1

Given Input Data is 917, 800, 172, 740

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

Prime Factorization of 917 is 7 x 131

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 740 is 2 x 2 x 5 x 37

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(917, 800) = 733600

GCD(917, 800) = ( 917 x 800 ) / 733600

GCD(917, 800) = 733600 / 733600

GCD(917, 800) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

GCD of 917, 800, 172, 740 is 1

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1. What is the GCD of 917, 800, 172, 740?

GCD of 917, 800, 172, 740 is 1

2. Where do I get the detailed procedure to find GCD of 917, 800, 172, 740?

You can find a detailed procedure to find GCD of 917, 800, 172, 740 on our page.

3. How to find GCD of 917, 800, 172, 740 on a calculator?

You can find the GCD of 917, 800, 172, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.