GCD of 452, 116, 53, 992 Calculator

Given Input numbers are 452, 116, 53, 992

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

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 53

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

1, 53

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 452, 116, 53, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 452, 116, 53, 992 is 1.

Therefore, GCD of numbers 452, 116, 53, 992 is 1

Given Input Data is 452, 116, 53, 992

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

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 53 is 53

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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(452, 116) = 13108

GCD(452, 116) = ( 452 x 116 ) / 13108

GCD(452, 116) = 52432 / 13108

GCD(452, 116) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 53

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

LCM(4, 53) = 212

GCD(4, 53) = ( 4 x 53 ) / 212

GCD(4, 53) = 212 / 212

GCD(4, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

GCD of 452, 116, 53, 992 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 958, 73, 959
• GCD of 131, 742, 63, 797
• GCD of 964, 662, 21, 336
• GCD of 707, 361, 79, 907
• GCD of 595, 773, 70, 659

1. What is the GCD of 452, 116, 53, 992?

GCD of 452, 116, 53, 992 is 1

2. Where do I get the detailed procedure to find GCD of 452, 116, 53, 992?

You can find a detailed procedure to find GCD of 452, 116, 53, 992 on our page.

3. How to find GCD of 452, 116, 53, 992 on a calculator?

You can find the GCD of 452, 116, 53, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.