GCD of 902, 752, 605, 334 Calculator

Given Input numbers are 902, 752, 605, 334

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 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 902, 752, 605, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 752, 605, 334 is 1.

Therefore, GCD of numbers 902, 752, 605, 334 is 1

Given Input Data is 902, 752, 605, 334

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 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 334 is 2 x 167

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, 752) = 339152

GCD(902, 752) = ( 902 x 752 ) / 339152

GCD(902, 752) = 678304 / 339152

GCD(902, 752) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 605

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

LCM(2, 605) = 1210

GCD(2, 605) = ( 2 x 605 ) / 1210

GCD(2, 605) = 1210 / 1210

GCD(2, 605) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 334

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

LCM(1, 334) = 334

GCD(1, 334) = ( 1 x 334 ) / 334

GCD(1, 334) = 334 / 334

GCD(1, 334) = 1

GCD of 902, 752, 605, 334 is 1

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1. What is the GCD of 902, 752, 605, 334?

GCD of 902, 752, 605, 334 is 1

2. Where do I get the detailed procedure to find GCD of 902, 752, 605, 334?

You can find a detailed procedure to find GCD of 902, 752, 605, 334 on our page.

3. How to find GCD of 902, 752, 605, 334 on a calculator?

You can find the GCD of 902, 752, 605, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.