GCD of 568, 749, 69, 100 Calculator

Given Input numbers are 568, 749, 69, 100

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

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 568, 749, 69, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 568, 749, 69, 100 is 1.

Therefore, GCD of numbers 568, 749, 69, 100 is 1

Given Input Data is 568, 749, 69, 100

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

Prime Factorization of 568 is 2 x 2 x 2 x 71

Prime Factorization of 749 is 7 x 107

Prime Factorization of 69 is 3 x 23

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(568, 749) = 425432

GCD(568, 749) = ( 568 x 749 ) / 425432

GCD(568, 749) = 425432 / 425432

GCD(568, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 568, 749, 69, 100 is 1

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1. What is the GCD of 568, 749, 69, 100?

GCD of 568, 749, 69, 100 is 1

2. Where do I get the detailed procedure to find GCD of 568, 749, 69, 100?

You can find a detailed procedure to find GCD of 568, 749, 69, 100 on our page.

3. How to find GCD of 568, 749, 69, 100 on a calculator?

You can find the GCD of 568, 749, 69, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.