GCD of 212, 177, 974, 102 Calculator

Given Input numbers are 212, 177, 974, 102

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

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

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 212, 177, 974, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 177, 974, 102 is 1.

Therefore, GCD of numbers 212, 177, 974, 102 is 1

Given Input Data is 212, 177, 974, 102

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

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 177 is 3 x 59

Prime Factorization of 974 is 2 x 487

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(212, 177) = 37524

GCD(212, 177) = ( 212 x 177 ) / 37524

GCD(212, 177) = 37524 / 37524

GCD(212, 177) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 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 212, 177, 974, 102 is 1

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1. What is the GCD of 212, 177, 974, 102?

GCD of 212, 177, 974, 102 is 1

2. Where do I get the detailed procedure to find GCD of 212, 177, 974, 102?

You can find a detailed procedure to find GCD of 212, 177, 974, 102 on our page.

3. How to find GCD of 212, 177, 974, 102 on a calculator?

You can find the GCD of 212, 177, 974, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.