GCD of 100, 965, 66, 102 Calculator

Given Input numbers are 100, 965, 66, 102

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 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 100, 965, 66, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 965, 66, 102 is 1.

Therefore, GCD of numbers 100, 965, 66, 102 is 1

Given Input Data is 100, 965, 66, 102

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 965 is 5 x 193

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 102 is 2 x 3 x 17

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, 965) = 19300

GCD(100, 965) = ( 100 x 965 ) / 19300

GCD(100, 965) = 96500 / 19300

GCD(100, 965) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 66

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

LCM(5, 66) = 330

GCD(5, 66) = ( 5 x 66 ) / 330

GCD(5, 66) = 330 / 330

GCD(5, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 102

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

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

GCD(1, 102) = 102 / 102

GCD(1, 102) = 1

GCD of 100, 965, 66, 102 is 1

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1. What is the GCD of 100, 965, 66, 102?

GCD of 100, 965, 66, 102 is 1

2. Where do I get the detailed procedure to find GCD of 100, 965, 66, 102?

You can find a detailed procedure to find GCD of 100, 965, 66, 102 on our page.

3. How to find GCD of 100, 965, 66, 102 on a calculator?

You can find the GCD of 100, 965, 66, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.