GCD of 827, 917, 84, 196 Calculator

Given Input numbers are 827, 917, 84, 196

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 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Greatest Common Divisior

We found the divisors of 827, 917, 84, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 917, 84, 196 is 1.

Therefore, GCD of numbers 827, 917, 84, 196 is 1

Given Input Data is 827, 917, 84, 196

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

Prime Factorization of 827 is 827

Prime Factorization of 917 is 7 x 131

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 196 is 2 x 2 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, 917) = 758359

GCD(827, 917) = ( 827 x 917 ) / 758359

GCD(827, 917) = 758359 / 758359

GCD(827, 917) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

GCD of 827, 917, 84, 196 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 343, 213, 44, 389
• GCD of 626, 265, 59, 928
• GCD of 229, 980, 94, 799
• GCD of 306, 215, 93, 162
• GCD of 261, 550, 48, 957

1. What is the GCD of 827, 917, 84, 196?

GCD of 827, 917, 84, 196 is 1

2. Where do I get the detailed procedure to find GCD of 827, 917, 84, 196?

You can find a detailed procedure to find GCD of 827, 917, 84, 196 on our page.

3. How to find GCD of 827, 917, 84, 196 on a calculator?

You can find the GCD of 827, 917, 84, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.