GCD of 902, 763, 434, 271 Calculator

Given Input numbers are 902, 763, 434, 271

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 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Greatest Common Divisior

We found the divisors of 902, 763, 434, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 763, 434, 271 is 1.

Therefore, GCD of numbers 902, 763, 434, 271 is 1

Given Input Data is 902, 763, 434, 271

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 763 is 7 x 109

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 271 is 271

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, 763) = 688226

GCD(902, 763) = ( 902 x 763 ) / 688226

GCD(902, 763) = 688226 / 688226

GCD(902, 763) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 271

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

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

GCD(1, 271) = 271 / 271

GCD(1, 271) = 1

GCD of 902, 763, 434, 271 is 1

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1. What is the GCD of 902, 763, 434, 271?

GCD of 902, 763, 434, 271 is 1

2. Where do I get the detailed procedure to find GCD of 902, 763, 434, 271?

You can find a detailed procedure to find GCD of 902, 763, 434, 271 on our page.

3. How to find GCD of 902, 763, 434, 271 on a calculator?

You can find the GCD of 902, 763, 434, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.