GCD of 280, 779, 949, 980 Calculator

Given Input numbers are 280, 779, 949, 980

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

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 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

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 280, 779, 949, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 779, 949, 980 is 1.

Therefore, GCD of numbers 280, 779, 949, 980 is 1

Given Input Data is 280, 779, 949, 980

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

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

Prime Factorization of 779 is 19 x 41

Prime Factorization of 949 is 13 x 73

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(280, 779) = 218120

GCD(280, 779) = ( 280 x 779 ) / 218120

GCD(280, 779) = 218120 / 218120

GCD(280, 779) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 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 280, 779, 949, 980 is 1

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1. What is the GCD of 280, 779, 949, 980?

GCD of 280, 779, 949, 980 is 1

2. Where do I get the detailed procedure to find GCD of 280, 779, 949, 980?

You can find a detailed procedure to find GCD of 280, 779, 949, 980 on our page.

3. How to find GCD of 280, 779, 949, 980 on a calculator?

You can find the GCD of 280, 779, 949, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.