GCD of 92, 42, 53, 60 Calculator

Given Input numbers are 92, 42, 53, 60

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

Divisors of 92

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

1, 2, 4, 23, 46, 92

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

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

Greatest Common Divisior

We found the divisors of 92, 42, 53, 60 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 92, 42, 53, 60 is 1.

Therefore, GCD of numbers 92, 42, 53, 60 is 1

Given Input Data is 92, 42, 53, 60

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

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 53 is 53

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

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(92, 42) = 1932

GCD(92, 42) = ( 92 x 42 ) / 1932

GCD(92, 42) = 3864 / 1932

GCD(92, 42) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

GCD of 92, 42, 53, 60 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 98, 67, 91
• GCD of 54, 12, 56, 18
• GCD of 15, 68, 44, 63
• GCD of 65, 23, 51, 12
• GCD of 20, 58, 57, 58

1. What is the GCD of 92, 42, 53, 60?

GCD of 92, 42, 53, 60 is 1

2. Where do I get the detailed procedure to find GCD of 92, 42, 53, 60?

You can find a detailed procedure to find GCD of 92, 42, 53, 60 on our page.

3. How to find GCD of 92, 42, 53, 60 on a calculator?

You can find the GCD of 92, 42, 53, 60 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.