GCD of 319, 748, 852, 100 Calculator

Given Input numbers are 319, 748, 852, 100

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

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

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 319, 748, 852, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 748, 852, 100 is 1.

Therefore, GCD of numbers 319, 748, 852, 100 is 1

Given Input Data is 319, 748, 852, 100

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

Prime Factorization of 319 is 11 x 29

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 852 is 2 x 2 x 3 x 71

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(319, 748) = 21692

GCD(319, 748) = ( 319 x 748 ) / 21692

GCD(319, 748) = 238612 / 21692

GCD(319, 748) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 852

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

LCM(11, 852) = 9372

GCD(11, 852) = ( 11 x 852 ) / 9372

GCD(11, 852) = 9372 / 9372

GCD(11, 852) = 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 319, 748, 852, 100 is 1

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• GCD of 722, 129, 954, 981
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1. What is the GCD of 319, 748, 852, 100?

GCD of 319, 748, 852, 100 is 1

2. Where do I get the detailed procedure to find GCD of 319, 748, 852, 100?

You can find a detailed procedure to find GCD of 319, 748, 852, 100 on our page.

3. How to find GCD of 319, 748, 852, 100 on a calculator?

You can find the GCD of 319, 748, 852, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.