GCD of 932, 972, 96, 994 Calculator

Given Input numbers are 932, 972, 96, 994

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

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 932, 972, 96, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 932, 972, 96, 994 is 2.

Therefore, GCD of numbers 932, 972, 96, 994 is 2

Given Input Data is 932, 972, 96, 994

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

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 994 is 2 x 7 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(932, 972) = 226476

GCD(932, 972) = ( 932 x 972 ) / 226476

GCD(932, 972) = 905904 / 226476

GCD(932, 972) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 96

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

LCM(4, 96) = 96

GCD(4, 96) = ( 4 x 96 ) / 96

GCD(4, 96) = 384 / 96

GCD(4, 96) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 994

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

LCM(4, 994) = 1988

GCD(4, 994) = ( 4 x 994 ) / 1988

GCD(4, 994) = 3976 / 1988

GCD(4, 994) = 2

GCD of 932, 972, 96, 994 is 2

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1. What is the GCD of 932, 972, 96, 994?

GCD of 932, 972, 96, 994 is 2

2. Where do I get the detailed procedure to find GCD of 932, 972, 96, 994?

You can find a detailed procedure to find GCD of 932, 972, 96, 994 on our page.

3. How to find GCD of 932, 972, 96, 994 on a calculator?

You can find the GCD of 932, 972, 96, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.