GCD of 111, 174, 902, 970 Calculator

Given Input numbers are 111, 174, 902, 970

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

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 111, 174, 902, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 174, 902, 970 is 1.

Therefore, GCD of numbers 111, 174, 902, 970 is 1

Given Input Data is 111, 174, 902, 970

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

Prime Factorization of 111 is 3 x 37

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 970 is 2 x 5 x 97

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(111, 174) = 6438

GCD(111, 174) = ( 111 x 174 ) / 6438

GCD(111, 174) = 19314 / 6438

GCD(111, 174) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 902

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

LCM(3, 902) = 2706

GCD(3, 902) = ( 3 x 902 ) / 2706

GCD(3, 902) = 2706 / 2706

GCD(3, 902) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 970

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

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

GCD(1, 970) = 970 / 970

GCD(1, 970) = 1

GCD of 111, 174, 902, 970 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 194, 332, 207, 437
• GCD of 970, 850, 135, 133
• GCD of 775, 251, 558, 823
• GCD of 783, 260, 331, 302
• GCD of 163, 884, 783, 208

1. What is the GCD of 111, 174, 902, 970?

GCD of 111, 174, 902, 970 is 1

2. Where do I get the detailed procedure to find GCD of 111, 174, 902, 970?

You can find a detailed procedure to find GCD of 111, 174, 902, 970 on our page.

3. How to find GCD of 111, 174, 902, 970 on a calculator?

You can find the GCD of 111, 174, 902, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.