GCD of 80, 202, 113, 315 Calculator

Given Input numbers are 80, 202, 113, 315

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

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 80, 202, 113, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 202, 113, 315 is 1.

Therefore, GCD of numbers 80, 202, 113, 315 is 1

Given Input Data is 80, 202, 113, 315

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 202 is 2 x 101

Prime Factorization of 113 is 113

Prime Factorization of 315 is 3 x 3 x 5 x 7

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(80, 202) = 8080

GCD(80, 202) = ( 80 x 202 ) / 8080

GCD(80, 202) = 16160 / 8080

GCD(80, 202) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 113

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

LCM(2, 113) = 226

GCD(2, 113) = ( 2 x 113 ) / 226

GCD(2, 113) = 226 / 226

GCD(2, 113) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

GCD of 80, 202, 113, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 79, 398, 799, 692
• GCD of 52, 778, 797, 681
• GCD of 55, 324, 778, 982
• GCD of 29, 536, 903, 566
• GCD of 85, 257, 537, 379

1. What is the GCD of 80, 202, 113, 315?

GCD of 80, 202, 113, 315 is 1

2. Where do I get the detailed procedure to find GCD of 80, 202, 113, 315?

You can find a detailed procedure to find GCD of 80, 202, 113, 315 on our page.

3. How to find GCD of 80, 202, 113, 315 on a calculator?

You can find the GCD of 80, 202, 113, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.