GCD of 980, 822, 56, 103 Calculator

Given Input numbers are 980, 822, 56, 103

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 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 980, 822, 56, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 822, 56, 103 is 1.

Therefore, GCD of numbers 980, 822, 56, 103 is 1

Given Input Data is 980, 822, 56, 103

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 822 is 2 x 3 x 137

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 103 is 103

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, 822) = 402780

GCD(980, 822) = ( 980 x 822 ) / 402780

GCD(980, 822) = 805560 / 402780

GCD(980, 822) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 103

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

LCM(2, 103) = 206

GCD(2, 103) = ( 2 x 103 ) / 206

GCD(2, 103) = 206 / 206

GCD(2, 103) = 1

GCD of 980, 822, 56, 103 is 1

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1. What is the GCD of 980, 822, 56, 103?

GCD of 980, 822, 56, 103 is 1

2. Where do I get the detailed procedure to find GCD of 980, 822, 56, 103?

You can find a detailed procedure to find GCD of 980, 822, 56, 103 on our page.

3. How to find GCD of 980, 822, 56, 103 on a calculator?

You can find the GCD of 980, 822, 56, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.