GCD of 902, 958, 948 Calculator

Given Input numbers are 902, 958, 948

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 958

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

1, 2, 479, 958

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Greatest Common Divisior

We found the divisors of 902, 958, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 958, 948 is 2.

Therefore, GCD of numbers 902, 958, 948 is 2

Given Input Data is 902, 958, 948

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 958 is 2 x 479

Prime Factorization of 948 is 2 x 2 x 3 x 79

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(902, 958) = 432058

GCD(902, 958) = ( 902 x 958 ) / 432058

GCD(902, 958) = 864116 / 432058

GCD(902, 958) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 948

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

LCM(2, 948) = 948

GCD(2, 948) = ( 2 x 948 ) / 948

GCD(2, 948) = 1896 / 948

GCD(2, 948) = 2

GCD of 902, 958, 948 is 2

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1. What is the GCD of 902, 958, 948?

GCD of 902, 958, 948 is 2

2. Where do I get the detailed procedure to find GCD of 902, 958, 948?

You can find a detailed procedure to find GCD of 902, 958, 948 on our page.

3. How to find GCD of 902, 958, 948 on a calculator?

You can find the GCD of 902, 958, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.