GCD of 152, 226, 78, 107 Calculator

Given Input numbers are 152, 226, 78, 107

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 152, 226, 78, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 226, 78, 107 is 1.

Therefore, GCD of numbers 152, 226, 78, 107 is 1

Given Input Data is 152, 226, 78, 107

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 226 is 2 x 113

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 107 is 107

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(152, 226) = 17176

GCD(152, 226) = ( 152 x 226 ) / 17176

GCD(152, 226) = 34352 / 17176

GCD(152, 226) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 107

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

LCM(2, 107) = 214

GCD(2, 107) = ( 2 x 107 ) / 214

GCD(2, 107) = 214 / 214

GCD(2, 107) = 1

GCD of 152, 226, 78, 107 is 1

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• GCD of 540, 835, 13, 618
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1. What is the GCD of 152, 226, 78, 107?

GCD of 152, 226, 78, 107 is 1

2. Where do I get the detailed procedure to find GCD of 152, 226, 78, 107?

You can find a detailed procedure to find GCD of 152, 226, 78, 107 on our page.

3. How to find GCD of 152, 226, 78, 107 on a calculator?

You can find the GCD of 152, 226, 78, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.