GCD of 672, 772, 74, 726 Calculator

Given Input numbers are 672, 772, 74, 726

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 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Greatest Common Divisior

We found the divisors of 672, 772, 74, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 772, 74, 726 is 2.

Therefore, GCD of numbers 672, 772, 74, 726 is 2

Given Input Data is 672, 772, 74, 726

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 772 is 2 x 2 x 193

Prime Factorization of 74 is 2 x 37

Prime Factorization of 726 is 2 x 3 x 11 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, 772) = 129696

GCD(672, 772) = ( 672 x 772 ) / 129696

GCD(672, 772) = 518784 / 129696

GCD(672, 772) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 74

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

LCM(4, 74) = 148

GCD(4, 74) = ( 4 x 74 ) / 148

GCD(4, 74) = 296 / 148

GCD(4, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 726

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

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

GCD(2, 726) = 1452 / 726

GCD(2, 726) = 2

GCD of 672, 772, 74, 726 is 2

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1. What is the GCD of 672, 772, 74, 726?

GCD of 672, 772, 74, 726 is 2

2. Where do I get the detailed procedure to find GCD of 672, 772, 74, 726?

You can find a detailed procedure to find GCD of 672, 772, 74, 726 on our page.

3. How to find GCD of 672, 772, 74, 726 on a calculator?

You can find the GCD of 672, 772, 74, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.