GCD of 904, 958, 92, 710 Calculator

Given Input numbers are 904, 958, 92, 710

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

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Greatest Common Divisior

We found the divisors of 904, 958, 92, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 958, 92, 710 is 2.

Therefore, GCD of numbers 904, 958, 92, 710 is 2

Given Input Data is 904, 958, 92, 710

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 958 is 2 x 479

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 710 is 2 x 5 x 71

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(904, 958) = 433016

GCD(904, 958) = ( 904 x 958 ) / 433016

GCD(904, 958) = 866032 / 433016

GCD(904, 958) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 92

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

LCM(2, 92) = 92

GCD(2, 92) = ( 2 x 92 ) / 92

GCD(2, 92) = 184 / 92

GCD(2, 92) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 710

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

LCM(2, 710) = 710

GCD(2, 710) = ( 2 x 710 ) / 710

GCD(2, 710) = 1420 / 710

GCD(2, 710) = 2

GCD of 904, 958, 92, 710 is 2

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1. What is the GCD of 904, 958, 92, 710?

GCD of 904, 958, 92, 710 is 2

2. Where do I get the detailed procedure to find GCD of 904, 958, 92, 710?

You can find a detailed procedure to find GCD of 904, 958, 92, 710 on our page.

3. How to find GCD of 904, 958, 92, 710 on a calculator?

You can find the GCD of 904, 958, 92, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.