GCD of 672, 904, 962, 264 Calculator

Given Input numbers are 672, 904, 962, 264

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

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 672, 904, 962, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 904, 962, 264 is 2.

Therefore, GCD of numbers 672, 904, 962, 264 is 2

Given Input Data is 672, 904, 962, 264

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

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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(672, 904) = 75936

GCD(672, 904) = ( 672 x 904 ) / 75936

GCD(672, 904) = 607488 / 75936

GCD(672, 904) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 962

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

LCM(8, 962) = 3848

GCD(8, 962) = ( 8 x 962 ) / 3848

GCD(8, 962) = 7696 / 3848

GCD(8, 962) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 264

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

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

GCD(2, 264) = 528 / 264

GCD(2, 264) = 2

GCD of 672, 904, 962, 264 is 2

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1. What is the GCD of 672, 904, 962, 264?

GCD of 672, 904, 962, 264 is 2

2. Where do I get the detailed procedure to find GCD of 672, 904, 962, 264?

You can find a detailed procedure to find GCD of 672, 904, 962, 264 on our page.

3. How to find GCD of 672, 904, 962, 264 on a calculator?

You can find the GCD of 672, 904, 962, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.