GCD of 302, 435, 867, 957 Calculator

Given Input numbers are 302, 435, 867, 957

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Greatest Common Divisior

We found the divisors of 302, 435, 867, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 435, 867, 957 is 1.

Therefore, GCD of numbers 302, 435, 867, 957 is 1

Given Input Data is 302, 435, 867, 957

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 957 is 3 x 11 x 29

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(302, 435) = 131370

GCD(302, 435) = ( 302 x 435 ) / 131370

GCD(302, 435) = 131370 / 131370

GCD(302, 435) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 957

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

LCM(1, 957) = 957

GCD(1, 957) = ( 1 x 957 ) / 957

GCD(1, 957) = 957 / 957

GCD(1, 957) = 1

GCD of 302, 435, 867, 957 is 1

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1. What is the GCD of 302, 435, 867, 957?

GCD of 302, 435, 867, 957 is 1

2. Where do I get the detailed procedure to find GCD of 302, 435, 867, 957?

You can find a detailed procedure to find GCD of 302, 435, 867, 957 on our page.

3. How to find GCD of 302, 435, 867, 957 on a calculator?

You can find the GCD of 302, 435, 867, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.