GCD of 142, 484, 597, 196 Calculator

Given Input numbers are 142, 484, 597, 196

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

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 142, 484, 597, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 484, 597, 196 is 1.

Therefore, GCD of numbers 142, 484, 597, 196 is 1

Given Input Data is 142, 484, 597, 196

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 597 is 3 x 199

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(142, 484) = 34364

GCD(142, 484) = ( 142 x 484 ) / 34364

GCD(142, 484) = 68728 / 34364

GCD(142, 484) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 597

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

LCM(2, 597) = 1194

GCD(2, 597) = ( 2 x 597 ) / 1194

GCD(2, 597) = 1194 / 1194

GCD(2, 597) = 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 142, 484, 597, 196 is 1

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1. What is the GCD of 142, 484, 597, 196?

GCD of 142, 484, 597, 196 is 1

2. Where do I get the detailed procedure to find GCD of 142, 484, 597, 196?

You can find a detailed procedure to find GCD of 142, 484, 597, 196 on our page.

3. How to find GCD of 142, 484, 597, 196 on a calculator?

You can find the GCD of 142, 484, 597, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.