GCD of 902, 958, 74, 588 Calculator

Given Input numbers are 902, 958, 74, 588

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 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 902, 958, 74, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 958, 74, 588 is 2.

Therefore, GCD of numbers 902, 958, 74, 588 is 2

Given Input Data is 902, 958, 74, 588

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 74 is 2 x 37

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 588

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

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

GCD(2, 588) = 1176 / 588

GCD(2, 588) = 2

GCD of 902, 958, 74, 588 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 982, 866, 65, 870
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• GCD of 899, 576, 53, 470
• GCD of 322, 777, 96, 988

1. What is the GCD of 902, 958, 74, 588?

GCD of 902, 958, 74, 588 is 2

2. Where do I get the detailed procedure to find GCD of 902, 958, 74, 588?

You can find a detailed procedure to find GCD of 902, 958, 74, 588 on our page.

3. How to find GCD of 902, 958, 74, 588 on a calculator?

You can find the GCD of 902, 958, 74, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.