GCD of 634, 760, 92, 712 Calculator

Given Input numbers are 634, 760, 92, 712

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 634, 760, 92, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 760, 92, 712 is 2.

Therefore, GCD of numbers 634, 760, 92, 712 is 2

Given Input Data is 634, 760, 92, 712

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

Prime Factorization of 634 is 2 x 317

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 712 is 2 x 2 x 2 x 89

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(634, 760) = 240920

GCD(634, 760) = ( 634 x 760 ) / 240920

GCD(634, 760) = 481840 / 240920

GCD(634, 760) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 92

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

LCM(2, 92) = 92

GCD(2, 92) = ( 2 x 92 ) / 92

GCD(2, 92) = 184 / 92

GCD(2, 92) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 712

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

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

GCD(2, 712) = 1424 / 712

GCD(2, 712) = 2

GCD of 634, 760, 92, 712 is 2

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1. What is the GCD of 634, 760, 92, 712?

GCD of 634, 760, 92, 712 is 2

2. Where do I get the detailed procedure to find GCD of 634, 760, 92, 712?

You can find a detailed procedure to find GCD of 634, 760, 92, 712 on our page.

3. How to find GCD of 634, 760, 92, 712 on a calculator?

You can find the GCD of 634, 760, 92, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.