GCD of 268, 524, 47, 902 Calculator

Given Input numbers are 268, 524, 47, 902

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 902

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

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

Greatest Common Divisior

We found the divisors of 268, 524, 47, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 524, 47, 902 is 1.

Therefore, GCD of numbers 268, 524, 47, 902 is 1

Given Input Data is 268, 524, 47, 902

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 47 is 47

Prime Factorization of 902 is 2 x 11 x 41

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(268, 524) = 35108

GCD(268, 524) = ( 268 x 524 ) / 35108

GCD(268, 524) = 140432 / 35108

GCD(268, 524) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 47

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

LCM(4, 47) = 188

GCD(4, 47) = ( 4 x 47 ) / 188

GCD(4, 47) = 188 / 188

GCD(4, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

GCD of 268, 524, 47, 902 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 512, 873, 36, 576
• GCD of 669, 934, 25, 640
• GCD of 475, 141, 40, 193
• GCD of 133, 977, 33, 696
• GCD of 269, 117, 28, 174

1. What is the GCD of 268, 524, 47, 902?

GCD of 268, 524, 47, 902 is 1

2. Where do I get the detailed procedure to find GCD of 268, 524, 47, 902?

You can find a detailed procedure to find GCD of 268, 524, 47, 902 on our page.

3. How to find GCD of 268, 524, 47, 902 on a calculator?

You can find the GCD of 268, 524, 47, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.