GCD of 182, 758, 49, 180 Calculator

Given Input numbers are 182, 758, 49, 180

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

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 182, 758, 49, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 182, 758, 49, 180 is 1.

Therefore, GCD of numbers 182, 758, 49, 180 is 1

Given Input Data is 182, 758, 49, 180

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

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 758 is 2 x 379

Prime Factorization of 49 is 7 x 7

Prime Factorization of 180 is 2 x 2 x 3 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(182, 758) = 68978

GCD(182, 758) = ( 182 x 758 ) / 68978

GCD(182, 758) = 137956 / 68978

GCD(182, 758) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 182, 758, 49, 180 is 1

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• GCD of 535, 535, 59, 916
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1. What is the GCD of 182, 758, 49, 180?

GCD of 182, 758, 49, 180 is 1

2. Where do I get the detailed procedure to find GCD of 182, 758, 49, 180?

You can find a detailed procedure to find GCD of 182, 758, 49, 180 on our page.

3. How to find GCD of 182, 758, 49, 180 on a calculator?

You can find the GCD of 182, 758, 49, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.