GCD of 632, 814, 40, 274 Calculator

Given Input numbers are 632, 814, 40, 274

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

Divisors of 632

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

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 274

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

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 632, 814, 40, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 632, 814, 40, 274 is 2.

Therefore, GCD of numbers 632, 814, 40, 274 is 2

Given Input Data is 632, 814, 40, 274

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

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 274 is 2 x 137

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(632, 814) = 257224

GCD(632, 814) = ( 632 x 814 ) / 257224

GCD(632, 814) = 514448 / 257224

GCD(632, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 274

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

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

GCD(2, 274) = 548 / 274

GCD(2, 274) = 2

GCD of 632, 814, 40, 274 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 907, 621, 98, 506
• GCD of 643, 101, 40, 545
• GCD of 262, 424, 73, 483
• GCD of 499, 819, 99, 959
• GCD of 759, 128, 22, 875

1. What is the GCD of 632, 814, 40, 274?

GCD of 632, 814, 40, 274 is 2

2. Where do I get the detailed procedure to find GCD of 632, 814, 40, 274?

You can find a detailed procedure to find GCD of 632, 814, 40, 274 on our page.

3. How to find GCD of 632, 814, 40, 274 on a calculator?

You can find the GCD of 632, 814, 40, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.