GCD of 274, 282, 61, 136 Calculator

Given Input numbers are 274, 282, 61, 136

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 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Greatest Common Divisior

We found the divisors of 274, 282, 61, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 282, 61, 136 is 1.

Therefore, GCD of numbers 274, 282, 61, 136 is 1

Given Input Data is 274, 282, 61, 136

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 61 is 61

Prime Factorization of 136 is 2 x 2 x 2 x 17

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, 282) = 38634

GCD(274, 282) = ( 274 x 282 ) / 38634

GCD(274, 282) = 77268 / 38634

GCD(274, 282) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 61

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

LCM(2, 61) = 122

GCD(2, 61) = ( 2 x 61 ) / 122

GCD(2, 61) = 122 / 122

GCD(2, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 136

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

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

GCD(1, 136) = 136 / 136

GCD(1, 136) = 1

GCD of 274, 282, 61, 136 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 908, 746, 55, 311
• GCD of 749, 436, 23, 566
• GCD of 146, 872, 21, 235
• GCD of 818, 741, 52, 693
• GCD of 495, 642, 80, 729

1. What is the GCD of 274, 282, 61, 136?

GCD of 274, 282, 61, 136 is 1

2. Where do I get the detailed procedure to find GCD of 274, 282, 61, 136?

You can find a detailed procedure to find GCD of 274, 282, 61, 136 on our page.

3. How to find GCD of 274, 282, 61, 136 on a calculator?

You can find the GCD of 274, 282, 61, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.