GCD of 115, 652, 78, 154 Calculator

Given Input numbers are 115, 652, 78, 154

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

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

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 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 115, 652, 78, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 652, 78, 154 is 1.

Therefore, GCD of numbers 115, 652, 78, 154 is 1

Given Input Data is 115, 652, 78, 154

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 154 is 2 x 7 x 11

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(115, 652) = 74980

GCD(115, 652) = ( 115 x 652 ) / 74980

GCD(115, 652) = 74980 / 74980

GCD(115, 652) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 154

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

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

GCD(1, 154) = 154 / 154

GCD(1, 154) = 1

GCD of 115, 652, 78, 154 is 1

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1. What is the GCD of 115, 652, 78, 154?

GCD of 115, 652, 78, 154 is 1

2. Where do I get the detailed procedure to find GCD of 115, 652, 78, 154?

You can find a detailed procedure to find GCD of 115, 652, 78, 154 on our page.

3. How to find GCD of 115, 652, 78, 154 on a calculator?

You can find the GCD of 115, 652, 78, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.