GCD of 453, 549, 114, 370 Calculator

Given Input numbers are 453, 549, 114, 370

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

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 453, 549, 114, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 453, 549, 114, 370 is 1.

Therefore, GCD of numbers 453, 549, 114, 370 is 1

Given Input Data is 453, 549, 114, 370

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

Prime Factorization of 453 is 3 x 151

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 370 is 2 x 5 x 37

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(453, 549) = 82899

GCD(453, 549) = ( 453 x 549 ) / 82899

GCD(453, 549) = 248697 / 82899

GCD(453, 549) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 114

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

LCM(3, 114) = 114

GCD(3, 114) = ( 3 x 114 ) / 114

GCD(3, 114) = 342 / 114

GCD(3, 114) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 370

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

LCM(3, 370) = 1110

GCD(3, 370) = ( 3 x 370 ) / 1110

GCD(3, 370) = 1110 / 1110

GCD(3, 370) = 1

GCD of 453, 549, 114, 370 is 1

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1. What is the GCD of 453, 549, 114, 370?

GCD of 453, 549, 114, 370 is 1

2. Where do I get the detailed procedure to find GCD of 453, 549, 114, 370?

You can find a detailed procedure to find GCD of 453, 549, 114, 370 on our page.

3. How to find GCD of 453, 549, 114, 370 on a calculator?

You can find the GCD of 453, 549, 114, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.