GCD of 483, 686, 196, 161 Calculator

Given Input numbers are 483, 686, 196, 161

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

Divisors of 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

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

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Greatest Common Divisior

We found the divisors of 483, 686, 196, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 483, 686, 196, 161 is 7.

Therefore, GCD of numbers 483, 686, 196, 161 is 7

Given Input Data is 483, 686, 196, 161

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

Prime Factorization of 483 is 3 x 7 x 23

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 161 is 7 x 23

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(483, 686) = 47334

GCD(483, 686) = ( 483 x 686 ) / 47334

GCD(483, 686) = 331338 / 47334

GCD(483, 686) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 196

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

LCM(7, 196) = 196

GCD(7, 196) = ( 7 x 196 ) / 196

GCD(7, 196) = 1372 / 196

GCD(7, 196) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 161

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

LCM(7, 161) = 161

GCD(7, 161) = ( 7 x 161 ) / 161

GCD(7, 161) = 1127 / 161

GCD(7, 161) = 7

GCD of 483, 686, 196, 161 is 7

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1. What is the GCD of 483, 686, 196, 161?

GCD of 483, 686, 196, 161 is 7

2. Where do I get the detailed procedure to find GCD of 483, 686, 196, 161?

You can find a detailed procedure to find GCD of 483, 686, 196, 161 on our page.

3. How to find GCD of 483, 686, 196, 161 on a calculator?

You can find the GCD of 483, 686, 196, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.