GCD of 274, 432, 87, 251 Calculator

Given Input numbers are 274, 432, 87, 251

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 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Greatest Common Divisior

We found the divisors of 274, 432, 87, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 432, 87, 251 is 1.

Therefore, GCD of numbers 274, 432, 87, 251 is 1

Given Input Data is 274, 432, 87, 251

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 87 is 3 x 29

Prime Factorization of 251 is 251

The above numbers do not have any common prime factor. So GCD is 1

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, 432) = 59184

GCD(274, 432) = ( 274 x 432 ) / 59184

GCD(274, 432) = 118368 / 59184

GCD(274, 432) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 87

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

LCM(2, 87) = 174

GCD(2, 87) = ( 2 x 87 ) / 174

GCD(2, 87) = 174 / 174

GCD(2, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 251

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

LCM(1, 251) = 251

GCD(1, 251) = ( 1 x 251 ) / 251

GCD(1, 251) = 251 / 251

GCD(1, 251) = 1

GCD of 274, 432, 87, 251 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 678, 843, 68, 149
• GCD of 267, 866, 87, 762
• GCD of 420, 859, 21, 676
• GCD of 985, 307, 12, 575
• GCD of 801, 326, 99, 450

1. What is the GCD of 274, 432, 87, 251?

GCD of 274, 432, 87, 251 is 1

2. Where do I get the detailed procedure to find GCD of 274, 432, 87, 251?

You can find a detailed procedure to find GCD of 274, 432, 87, 251 on our page.

3. How to find GCD of 274, 432, 87, 251 on a calculator?

You can find the GCD of 274, 432, 87, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.