GCD of 672, 732, 988, 794 Calculator

Given Input numbers are 672, 732, 988, 794

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 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Greatest Common Divisior

We found the divisors of 672, 732, 988, 794 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 732, 988, 794 is 2.

Therefore, GCD of numbers 672, 732, 988, 794 is 2

Given Input Data is 672, 732, 988, 794

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 732 is 2 x 2 x 3 x 61

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 794 is 2 x 397

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, 732) = 40992

GCD(672, 732) = ( 672 x 732 ) / 40992

GCD(672, 732) = 491904 / 40992

GCD(672, 732) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 988

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

LCM(12, 988) = 2964

GCD(12, 988) = ( 12 x 988 ) / 2964

GCD(12, 988) = 11856 / 2964

GCD(12, 988) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 794

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

LCM(4, 794) = 1588

GCD(4, 794) = ( 4 x 794 ) / 1588

GCD(4, 794) = 3176 / 1588

GCD(4, 794) = 2

GCD of 672, 732, 988, 794 is 2

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1. What is the GCD of 672, 732, 988, 794?

GCD of 672, 732, 988, 794 is 2

2. Where do I get the detailed procedure to find GCD of 672, 732, 988, 794?

You can find a detailed procedure to find GCD of 672, 732, 988, 794 on our page.

3. How to find GCD of 672, 732, 988, 794 on a calculator?

You can find the GCD of 672, 732, 988, 794 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.