GCD of 827, 720, 338, 980 Calculator

Given Input numbers are 827, 720, 338, 980

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

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

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

Greatest Common Divisior

We found the divisors of 827, 720, 338, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 720, 338, 980 is 1.

Therefore, GCD of numbers 827, 720, 338, 980 is 1

Given Input Data is 827, 720, 338, 980

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

Prime Factorization of 827 is 827

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 980 is 2 x 2 x 5 x 7 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(827, 720) = 595440

GCD(827, 720) = ( 827 x 720 ) / 595440

GCD(827, 720) = 595440 / 595440

GCD(827, 720) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

GCD of 827, 720, 338, 980 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 251, 348, 924
• GCD of 322, 119, 548, 414
• GCD of 826, 499, 164, 222
• GCD of 261, 986, 991, 144
• GCD of 336, 871, 802, 794

1. What is the GCD of 827, 720, 338, 980?

GCD of 827, 720, 338, 980 is 1

2. Where do I get the detailed procedure to find GCD of 827, 720, 338, 980?

You can find a detailed procedure to find GCD of 827, 720, 338, 980 on our page.

3. How to find GCD of 827, 720, 338, 980 on a calculator?

You can find the GCD of 827, 720, 338, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.