GCD of 196, 596, 236, 902 Calculator

Given Input numbers are 196, 596, 236, 902

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 196, 596, 236, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 596, 236, 902 is 2.

Therefore, GCD of numbers 196, 596, 236, 902 is 2

Given Input Data is 196, 596, 236, 902

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 902 is 2 x 11 x 41

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(196, 596) = 29204

GCD(196, 596) = ( 196 x 596 ) / 29204

GCD(196, 596) = 116816 / 29204

GCD(196, 596) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 236

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

LCM(4, 236) = 236

GCD(4, 236) = ( 4 x 236 ) / 236

GCD(4, 236) = 944 / 236

GCD(4, 236) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 902

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

LCM(4, 902) = 1804

GCD(4, 902) = ( 4 x 902 ) / 1804

GCD(4, 902) = 3608 / 1804

GCD(4, 902) = 2

GCD of 196, 596, 236, 902 is 2

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1. What is the GCD of 196, 596, 236, 902?

GCD of 196, 596, 236, 902 is 2

2. Where do I get the detailed procedure to find GCD of 196, 596, 236, 902?

You can find a detailed procedure to find GCD of 196, 596, 236, 902 on our page.

3. How to find GCD of 196, 596, 236, 902 on a calculator?

You can find the GCD of 196, 596, 236, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.