GCD of 719, 652, 371, 100 Calculator

Given Input numbers are 719, 652, 371, 100

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

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

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 719, 652, 371, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 719, 652, 371, 100 is 1.

Therefore, GCD of numbers 719, 652, 371, 100 is 1

Given Input Data is 719, 652, 371, 100

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

Prime Factorization of 719 is 719

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 371 is 7 x 53

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(719, 652) = 468788

GCD(719, 652) = ( 719 x 652 ) / 468788

GCD(719, 652) = 468788 / 468788

GCD(719, 652) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 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 719, 652, 371, 100 is 1

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1. What is the GCD of 719, 652, 371, 100?

GCD of 719, 652, 371, 100 is 1

2. Where do I get the detailed procedure to find GCD of 719, 652, 371, 100?

You can find a detailed procedure to find GCD of 719, 652, 371, 100 on our page.

3. How to find GCD of 719, 652, 371, 100 on a calculator?

You can find the GCD of 719, 652, 371, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.