GCD of 980, 775, 49, 963 Calculator

Given Input numbers are 980, 775, 49, 963

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 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 980, 775, 49, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 775, 49, 963 is 1.

Therefore, GCD of numbers 980, 775, 49, 963 is 1

Given Input Data is 980, 775, 49, 963

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 775 is 5 x 5 x 31

Prime Factorization of 49 is 7 x 7

Prime Factorization of 963 is 3 x 3 x 107

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, 775) = 151900

GCD(980, 775) = ( 980 x 775 ) / 151900

GCD(980, 775) = 759500 / 151900

GCD(980, 775) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 49

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

LCM(5, 49) = 245

GCD(5, 49) = ( 5 x 49 ) / 245

GCD(5, 49) = 245 / 245

GCD(5, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 963

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

LCM(1, 963) = 963

GCD(1, 963) = ( 1 x 963 ) / 963

GCD(1, 963) = 963 / 963

GCD(1, 963) = 1

GCD of 980, 775, 49, 963 is 1

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1. What is the GCD of 980, 775, 49, 963?

GCD of 980, 775, 49, 963 is 1

2. Where do I get the detailed procedure to find GCD of 980, 775, 49, 963?

You can find a detailed procedure to find GCD of 980, 775, 49, 963 on our page.

3. How to find GCD of 980, 775, 49, 963 on a calculator?

You can find the GCD of 980, 775, 49, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.