GCD of 700, 717, 889, 110 Calculator

Given Input numbers are 700, 717, 889, 110

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

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Greatest Common Divisior

We found the divisors of 700, 717, 889, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 717, 889, 110 is 1.

Therefore, GCD of numbers 700, 717, 889, 110 is 1

Given Input Data is 700, 717, 889, 110

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

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 717 is 3 x 239

Prime Factorization of 889 is 7 x 127

Prime Factorization of 110 is 2 x 5 x 11

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(700, 717) = 501900

GCD(700, 717) = ( 700 x 717 ) / 501900

GCD(700, 717) = 501900 / 501900

GCD(700, 717) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 889

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

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

GCD(1, 889) = 889 / 889

GCD(1, 889) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 110

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

LCM(1, 110) = 110

GCD(1, 110) = ( 1 x 110 ) / 110

GCD(1, 110) = 110 / 110

GCD(1, 110) = 1

GCD of 700, 717, 889, 110 is 1

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1. What is the GCD of 700, 717, 889, 110?

GCD of 700, 717, 889, 110 is 1

2. Where do I get the detailed procedure to find GCD of 700, 717, 889, 110?

You can find a detailed procedure to find GCD of 700, 717, 889, 110 on our page.

3. How to find GCD of 700, 717, 889, 110 on a calculator?

You can find the GCD of 700, 717, 889, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.