GCD of 762, 114, 496, 634 Calculator

Given Input numbers are 762, 114, 496, 634

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

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 634

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

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 762, 114, 496, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 114, 496, 634 is 2.

Therefore, GCD of numbers 762, 114, 496, 634 is 2

Given Input Data is 762, 114, 496, 634

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 634 is 2 x 317

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(762, 114) = 14478

GCD(762, 114) = ( 762 x 114 ) / 14478

GCD(762, 114) = 86868 / 14478

GCD(762, 114) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 496

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

LCM(6, 496) = 1488

GCD(6, 496) = ( 6 x 496 ) / 1488

GCD(6, 496) = 2976 / 1488

GCD(6, 496) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 634

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

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

GCD(2, 634) = 1268 / 634

GCD(2, 634) = 2

GCD of 762, 114, 496, 634 is 2

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1. What is the GCD of 762, 114, 496, 634?

GCD of 762, 114, 496, 634 is 2

2. Where do I get the detailed procedure to find GCD of 762, 114, 496, 634?

You can find a detailed procedure to find GCD of 762, 114, 496, 634 on our page.

3. How to find GCD of 762, 114, 496, 634 on a calculator?

You can find the GCD of 762, 114, 496, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.