GCD of 700, 916, 107, 583 Calculator

Given Input numbers are 700, 916, 107, 583

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 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Greatest Common Divisior

We found the divisors of 700, 916, 107, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 916, 107, 583 is 1.

Therefore, GCD of numbers 700, 916, 107, 583 is 1

Given Input Data is 700, 916, 107, 583

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 916 is 2 x 2 x 229

Prime Factorization of 107 is 107

Prime Factorization of 583 is 11 x 53

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, 916) = 160300

GCD(700, 916) = ( 700 x 916 ) / 160300

GCD(700, 916) = 641200 / 160300

GCD(700, 916) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 107

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

LCM(4, 107) = 428

GCD(4, 107) = ( 4 x 107 ) / 428

GCD(4, 107) = 428 / 428

GCD(4, 107) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 583

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

LCM(1, 583) = 583

GCD(1, 583) = ( 1 x 583 ) / 583

GCD(1, 583) = 583 / 583

GCD(1, 583) = 1

GCD of 700, 916, 107, 583 is 1

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• GCD of 559, 440, 230, 891
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1. What is the GCD of 700, 916, 107, 583?

GCD of 700, 916, 107, 583 is 1

2. Where do I get the detailed procedure to find GCD of 700, 916, 107, 583?

You can find a detailed procedure to find GCD of 700, 916, 107, 583 on our page.

3. How to find GCD of 700, 916, 107, 583 on a calculator?

You can find the GCD of 700, 916, 107, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.