GCD of 378, 779, 59, 100 Calculator

Given Input numbers are 378, 779, 59, 100

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

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 378, 779, 59, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 779, 59, 100 is 1.

Therefore, GCD of numbers 378, 779, 59, 100 is 1

Given Input Data is 378, 779, 59, 100

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 779 is 19 x 41

Prime Factorization of 59 is 59

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(378, 779) = 294462

GCD(378, 779) = ( 378 x 779 ) / 294462

GCD(378, 779) = 294462 / 294462

GCD(378, 779) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 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 378, 779, 59, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 686, 315, 22, 189
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1. What is the GCD of 378, 779, 59, 100?

GCD of 378, 779, 59, 100 is 1

2. Where do I get the detailed procedure to find GCD of 378, 779, 59, 100?

You can find a detailed procedure to find GCD of 378, 779, 59, 100 on our page.

3. How to find GCD of 378, 779, 59, 100 on a calculator?

You can find the GCD of 378, 779, 59, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.