GCD of 680, 461, 142, 198 Calculator

Given Input numbers are 680, 461, 142, 198

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

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 142

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

1, 2, 71, 142

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 680, 461, 142, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 461, 142, 198 is 1.

Therefore, GCD of numbers 680, 461, 142, 198 is 1

Given Input Data is 680, 461, 142, 198

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 461 is 461

Prime Factorization of 142 is 2 x 71

Prime Factorization of 198 is 2 x 3 x 3 x 11

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(680, 461) = 313480

GCD(680, 461) = ( 680 x 461 ) / 313480

GCD(680, 461) = 313480 / 313480

GCD(680, 461) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 680, 461, 142, 198 is 1

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1. What is the GCD of 680, 461, 142, 198?

GCD of 680, 461, 142, 198 is 1

2. Where do I get the detailed procedure to find GCD of 680, 461, 142, 198?

You can find a detailed procedure to find GCD of 680, 461, 142, 198 on our page.

3. How to find GCD of 680, 461, 142, 198 on a calculator?

You can find the GCD of 680, 461, 142, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.