GCD of 135, 944, 217, 278 Calculator

Given Input numbers are 135, 944, 217, 278

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 135, 944, 217, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 944, 217, 278 is 1.

Therefore, GCD of numbers 135, 944, 217, 278 is 1

Given Input Data is 135, 944, 217, 278

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 217 is 7 x 31

Prime Factorization of 278 is 2 x 139

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(135, 944) = 127440

GCD(135, 944) = ( 135 x 944 ) / 127440

GCD(135, 944) = 127440 / 127440

GCD(135, 944) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 135, 944, 217, 278 is 1

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1. What is the GCD of 135, 944, 217, 278?

GCD of 135, 944, 217, 278 is 1

2. Where do I get the detailed procedure to find GCD of 135, 944, 217, 278?

You can find a detailed procedure to find GCD of 135, 944, 217, 278 on our page.

3. How to find GCD of 135, 944, 217, 278 on a calculator?

You can find the GCD of 135, 944, 217, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.