GCD of 946, 302, 848, 996 Calculator

Given Input numbers are 946, 302, 848, 996

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

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 946, 302, 848, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 302, 848, 996 is 2.

Therefore, GCD of numbers 946, 302, 848, 996 is 2

Given Input Data is 946, 302, 848, 996

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

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 302 is 2 x 151

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(946, 302) = 142846

GCD(946, 302) = ( 946 x 302 ) / 142846

GCD(946, 302) = 285692 / 142846

GCD(946, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 848

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

LCM(2, 848) = 848

GCD(2, 848) = ( 2 x 848 ) / 848

GCD(2, 848) = 1696 / 848

GCD(2, 848) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 996

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

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

GCD(2, 996) = 1992 / 996

GCD(2, 996) = 2

GCD of 946, 302, 848, 996 is 2

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1. What is the GCD of 946, 302, 848, 996?

GCD of 946, 302, 848, 996 is 2

2. Where do I get the detailed procedure to find GCD of 946, 302, 848, 996?

You can find a detailed procedure to find GCD of 946, 302, 848, 996 on our page.

3. How to find GCD of 946, 302, 848, 996 on a calculator?

You can find the GCD of 946, 302, 848, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.