GCD of 902, 235, 74, 189 Calculator

Given Input numbers are 902, 235, 74, 189

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

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 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 902, 235, 74, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 235, 74, 189 is 1.

Therefore, GCD of numbers 902, 235, 74, 189 is 1

Given Input Data is 902, 235, 74, 189

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

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 235 is 5 x 47

Prime Factorization of 74 is 2 x 37

Prime Factorization of 189 is 3 x 3 x 3 x 7

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(902, 235) = 211970

GCD(902, 235) = ( 902 x 235 ) / 211970

GCD(902, 235) = 211970 / 211970

GCD(902, 235) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 902, 235, 74, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 405, 59, 591
• GCD of 436, 895, 77, 210
• GCD of 334, 177, 41, 856
• GCD of 948, 290, 33, 559
• GCD of 678, 837, 49, 488

1. What is the GCD of 902, 235, 74, 189?

GCD of 902, 235, 74, 189 is 1

2. Where do I get the detailed procedure to find GCD of 902, 235, 74, 189?

You can find a detailed procedure to find GCD of 902, 235, 74, 189 on our page.

3. How to find GCD of 902, 235, 74, 189 on a calculator?

You can find the GCD of 902, 235, 74, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.