GCD of 966, 624, 974 Calculator

Given Input numbers are 966, 624, 974

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

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 966, 624, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 624, 974 is 2.

Therefore, GCD of numbers 966, 624, 974 is 2

Given Input Data is 966, 624, 974

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 974 is 2 x 487

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(966, 624) = 100464

GCD(966, 624) = ( 966 x 624 ) / 100464

GCD(966, 624) = 602784 / 100464

GCD(966, 624) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 974

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

LCM(6, 974) = 2922

GCD(6, 974) = ( 6 x 974 ) / 2922

GCD(6, 974) = 5844 / 2922

GCD(6, 974) = 2

GCD of 966, 624, 974 is 2

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1. What is the GCD of 966, 624, 974?

GCD of 966, 624, 974 is 2

2. Where do I get the detailed procedure to find GCD of 966, 624, 974?

You can find a detailed procedure to find GCD of 966, 624, 974 on our page.

3. How to find GCD of 966, 624, 974 on a calculator?

You can find the GCD of 966, 624, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.