GCD of 315, 980, 99, 879 Calculator

Given Input numbers are 315, 980, 99, 879

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

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

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Greatest Common Divisior

We found the divisors of 315, 980, 99, 879 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 980, 99, 879 is 1.

Therefore, GCD of numbers 315, 980, 99, 879 is 1

Given Input Data is 315, 980, 99, 879

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

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

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 879 is 3 x 293

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(315, 980) = 8820

GCD(315, 980) = ( 315 x 980 ) / 8820

GCD(315, 980) = 308700 / 8820

GCD(315, 980) = 35

Step2:

Here we consider the GCD from the above i.e. 35 as first number and the next as 99

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

LCM(35, 99) = 3465

GCD(35, 99) = ( 35 x 99 ) / 3465

GCD(35, 99) = 3465 / 3465

GCD(35, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 879

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

LCM(1, 879) = 879

GCD(1, 879) = ( 1 x 879 ) / 879

GCD(1, 879) = 879 / 879

GCD(1, 879) = 1

GCD of 315, 980, 99, 879 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 828, 416, 85, 395
• GCD of 684, 804, 62, 869
• GCD of 300, 432, 28, 921
• GCD of 537, 934, 11, 988
• GCD of 147, 845, 35, 429

1. What is the GCD of 315, 980, 99, 879?

GCD of 315, 980, 99, 879 is 1

2. Where do I get the detailed procedure to find GCD of 315, 980, 99, 879?

You can find a detailed procedure to find GCD of 315, 980, 99, 879 on our page.

3. How to find GCD of 315, 980, 99, 879 on a calculator?

You can find the GCD of 315, 980, 99, 879 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.