GCD of 100, 778, 83, 995 Calculator

Given Input numbers are 100, 778, 83, 995

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

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

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Greatest Common Divisior

We found the divisors of 100, 778, 83, 995 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 778, 83, 995 is 1.

Therefore, GCD of numbers 100, 778, 83, 995 is 1

Given Input Data is 100, 778, 83, 995

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

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 83 is 83

Prime Factorization of 995 is 5 x 199

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(100, 778) = 38900

GCD(100, 778) = ( 100 x 778 ) / 38900

GCD(100, 778) = 77800 / 38900

GCD(100, 778) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 995

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

LCM(1, 995) = 995

GCD(1, 995) = ( 1 x 995 ) / 995

GCD(1, 995) = 995 / 995

GCD(1, 995) = 1

GCD of 100, 778, 83, 995 is 1

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1. What is the GCD of 100, 778, 83, 995?

GCD of 100, 778, 83, 995 is 1

2. Where do I get the detailed procedure to find GCD of 100, 778, 83, 995?

You can find a detailed procedure to find GCD of 100, 778, 83, 995 on our page.

3. How to find GCD of 100, 778, 83, 995 on a calculator?

You can find the GCD of 100, 778, 83, 995 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.