GCD of 902, 351, 78, 431 Calculator

Given Input numbers are 902, 351, 78, 431

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 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Greatest Common Divisior

We found the divisors of 902, 351, 78, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 351, 78, 431 is 1.

Therefore, GCD of numbers 902, 351, 78, 431 is 1

Given Input Data is 902, 351, 78, 431

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 351 is 3 x 3 x 3 x 13

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 431 is 431

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, 351) = 316602

GCD(902, 351) = ( 902 x 351 ) / 316602

GCD(902, 351) = 316602 / 316602

GCD(902, 351) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 431

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

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

GCD(1, 431) = 431 / 431

GCD(1, 431) = 1

GCD of 902, 351, 78, 431 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 873, 337, 39, 436
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• GCD of 569, 475, 16, 763
• GCD of 120, 771, 47, 210
• GCD of 316, 156, 83, 392

1. What is the GCD of 902, 351, 78, 431?

GCD of 902, 351, 78, 431 is 1

2. Where do I get the detailed procedure to find GCD of 902, 351, 78, 431?

You can find a detailed procedure to find GCD of 902, 351, 78, 431 on our page.

3. How to find GCD of 902, 351, 78, 431 on a calculator?

You can find the GCD of 902, 351, 78, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.