GCD of 274, 468, 76, 632 Calculator

Given Input numbers are 274, 468, 76, 632

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Greatest Common Divisior

We found the divisors of 274, 468, 76, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 468, 76, 632 is 2.

Therefore, GCD of numbers 274, 468, 76, 632 is 2

Given Input Data is 274, 468, 76, 632

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 632 is 2 x 2 x 2 x 79

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(274, 468) = 64116

GCD(274, 468) = ( 274 x 468 ) / 64116

GCD(274, 468) = 128232 / 64116

GCD(274, 468) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 632

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

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

GCD(2, 632) = 1264 / 632

GCD(2, 632) = 2

GCD of 274, 468, 76, 632 is 2

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1. What is the GCD of 274, 468, 76, 632?

GCD of 274, 468, 76, 632 is 2

2. Where do I get the detailed procedure to find GCD of 274, 468, 76, 632?

You can find a detailed procedure to find GCD of 274, 468, 76, 632 on our page.

3. How to find GCD of 274, 468, 76, 632 on a calculator?

You can find the GCD of 274, 468, 76, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.