GCD of 980, 830, 77, 878 Calculator

Given Input numbers are 980, 830, 77, 878

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

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 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Greatest Common Divisior

We found the divisors of 980, 830, 77, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 830, 77, 878 is 1.

Therefore, GCD of numbers 980, 830, 77, 878 is 1

Given Input Data is 980, 830, 77, 878

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

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

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 77 is 7 x 11

Prime Factorization of 878 is 2 x 439

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(980, 830) = 81340

GCD(980, 830) = ( 980 x 830 ) / 81340

GCD(980, 830) = 813400 / 81340

GCD(980, 830) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 77

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

LCM(10, 77) = 770

GCD(10, 77) = ( 10 x 77 ) / 770

GCD(10, 77) = 770 / 770

GCD(10, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 878

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

LCM(1, 878) = 878

GCD(1, 878) = ( 1 x 878 ) / 878

GCD(1, 878) = 878 / 878

GCD(1, 878) = 1

GCD of 980, 830, 77, 878 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 997, 18, 384
• GCD of 359, 391, 54, 927
• GCD of 403, 947, 53, 999
• GCD of 457, 989, 77, 573
• GCD of 110, 528, 90, 794

1. What is the GCD of 980, 830, 77, 878?

GCD of 980, 830, 77, 878 is 1

2. Where do I get the detailed procedure to find GCD of 980, 830, 77, 878?

You can find a detailed procedure to find GCD of 980, 830, 77, 878 on our page.

3. How to find GCD of 980, 830, 77, 878 on a calculator?

You can find the GCD of 980, 830, 77, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.