GCD of 180, 280, 95, 340 Calculator

Given Input numbers are 180, 280, 95, 340

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

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 180, 280, 95, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 280, 95, 340 is 5.

Therefore, GCD of numbers 180, 280, 95, 340 is 5

Given Input Data is 180, 280, 95, 340

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 95 is 5 x 19

Prime Factorization of 340 is 2 x 2 x 5 x 17

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(180, 280) = 2520

GCD(180, 280) = ( 180 x 280 ) / 2520

GCD(180, 280) = 50400 / 2520

GCD(180, 280) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 95

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

LCM(20, 95) = 380

GCD(20, 95) = ( 20 x 95 ) / 380

GCD(20, 95) = 1900 / 380

GCD(20, 95) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 340

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

LCM(5, 340) = 340

GCD(5, 340) = ( 5 x 340 ) / 340

GCD(5, 340) = 1700 / 340

GCD(5, 340) = 5

GCD of 180, 280, 95, 340 is 5

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• GCD of 220, 307, 12, 431
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• GCD of 239, 946, 83, 313

1. What is the GCD of 180, 280, 95, 340?

GCD of 180, 280, 95, 340 is 5

2. Where do I get the detailed procedure to find GCD of 180, 280, 95, 340?

You can find a detailed procedure to find GCD of 180, 280, 95, 340 on our page.

3. How to find GCD of 180, 280, 95, 340 on a calculator?

You can find the GCD of 180, 280, 95, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.