GCD of 680, 772, 14, 752 Calculator

Given Input numbers are 680, 772, 14, 752

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

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 772

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

1, 2, 4, 193, 386, 772

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 680, 772, 14, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 772, 14, 752 is 2.

Therefore, GCD of numbers 680, 772, 14, 752 is 2

Given Input Data is 680, 772, 14, 752

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 14 is 2 x 7

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(680, 772) = 131240

GCD(680, 772) = ( 680 x 772 ) / 131240

GCD(680, 772) = 524960 / 131240

GCD(680, 772) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 14

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

LCM(4, 14) = 28

GCD(4, 14) = ( 4 x 14 ) / 28

GCD(4, 14) = 56 / 28

GCD(4, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 752

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

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

GCD(2, 752) = 1504 / 752

GCD(2, 752) = 2

GCD of 680, 772, 14, 752 is 2

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1. What is the GCD of 680, 772, 14, 752?

GCD of 680, 772, 14, 752 is 2

2. Where do I get the detailed procedure to find GCD of 680, 772, 14, 752?

You can find a detailed procedure to find GCD of 680, 772, 14, 752 on our page.

3. How to find GCD of 680, 772, 14, 752 on a calculator?

You can find the GCD of 680, 772, 14, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.