GCD of 60, 19, 92, 78 Calculator

Given Input numbers are 60, 19, 92, 78

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 78

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

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

Greatest Common Divisior

We found the divisors of 60, 19, 92, 78 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 19, 92, 78 is 1.

Therefore, GCD of numbers 60, 19, 92, 78 is 1

Given Input Data is 60, 19, 92, 78

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 19 is 19

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 78 is 2 x 3 x 13

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(60, 19) = 1140

GCD(60, 19) = ( 60 x 19 ) / 1140

GCD(60, 19) = 1140 / 1140

GCD(60, 19) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 92

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

LCM(1, 92) = 92

GCD(1, 92) = ( 1 x 92 ) / 92

GCD(1, 92) = 92 / 92

GCD(1, 92) = 1

Step3:

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

GCD of 60, 19, 92, 78 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 14, 49, 41
• GCD of 41, 10, 66, 47
• GCD of 29, 17, 25, 99
• GCD of 43, 97, 39, 56
• GCD of 56, 61, 54, 81

1. What is the GCD of 60, 19, 92, 78?

GCD of 60, 19, 92, 78 is 1

2. Where do I get the detailed procedure to find GCD of 60, 19, 92, 78?

You can find a detailed procedure to find GCD of 60, 19, 92, 78 on our page.

3. How to find GCD of 60, 19, 92, 78 on a calculator?

You can find the GCD of 60, 19, 92, 78 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.