GCD of 852, 902, 91, 274 Calculator

Given Input numbers are 852, 902, 91, 274

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

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 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 852, 902, 91, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 902, 91, 274 is 1.

Therefore, GCD of numbers 852, 902, 91, 274 is 1

Given Input Data is 852, 902, 91, 274

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 91 is 7 x 13

Prime Factorization of 274 is 2 x 137

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(852, 902) = 384252

GCD(852, 902) = ( 852 x 902 ) / 384252

GCD(852, 902) = 768504 / 384252

GCD(852, 902) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 91

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

LCM(2, 91) = 182

GCD(2, 91) = ( 2 x 91 ) / 182

GCD(2, 91) = 182 / 182

GCD(2, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

GCD of 852, 902, 91, 274 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 916, 266, 54, 840
• GCD of 958, 144, 82, 558
• GCD of 119, 758, 46, 272
• GCD of 133, 633, 73, 872
• GCD of 774, 953, 85, 154

1. What is the GCD of 852, 902, 91, 274?

GCD of 852, 902, 91, 274 is 1

2. Where do I get the detailed procedure to find GCD of 852, 902, 91, 274?

You can find a detailed procedure to find GCD of 852, 902, 91, 274 on our page.

3. How to find GCD of 852, 902, 91, 274 on a calculator?

You can find the GCD of 852, 902, 91, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.