GCD of 370, 100, 456, 549 Calculator

Given Input numbers are 370, 100, 456, 549

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

Divisors of 370

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

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 549

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

1, 3, 9, 61, 183, 549

Greatest Common Divisior

We found the divisors of 370, 100, 456, 549 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 100, 456, 549 is 1.

Therefore, GCD of numbers 370, 100, 456, 549 is 1

Given Input Data is 370, 100, 456, 549

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 549 is 3 x 3 x 61

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(370, 100) = 3700

GCD(370, 100) = ( 370 x 100 ) / 3700

GCD(370, 100) = 37000 / 3700

GCD(370, 100) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 456

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

LCM(10, 456) = 2280

GCD(10, 456) = ( 10 x 456 ) / 2280

GCD(10, 456) = 4560 / 2280

GCD(10, 456) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 549

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

LCM(2, 549) = 1098

GCD(2, 549) = ( 2 x 549 ) / 1098

GCD(2, 549) = 1098 / 1098

GCD(2, 549) = 1

GCD of 370, 100, 456, 549 is 1

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1. What is the GCD of 370, 100, 456, 549?

GCD of 370, 100, 456, 549 is 1

2. Where do I get the detailed procedure to find GCD of 370, 100, 456, 549?

You can find a detailed procedure to find GCD of 370, 100, 456, 549 on our page.

3. How to find GCD of 370, 100, 456, 549 on a calculator?

You can find the GCD of 370, 100, 456, 549 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.