GCD of 340, 147, 591, 992 Calculator

Given Input numbers are 340, 147, 591, 992

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 340, 147, 591, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 147, 591, 992 is 1.

Therefore, GCD of numbers 340, 147, 591, 992 is 1

Given Input Data is 340, 147, 591, 992

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 591 is 3 x 197

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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(340, 147) = 49980

GCD(340, 147) = ( 340 x 147 ) / 49980

GCD(340, 147) = 49980 / 49980

GCD(340, 147) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 591

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

LCM(1, 591) = 591

GCD(1, 591) = ( 1 x 591 ) / 591

GCD(1, 591) = 591 / 591

GCD(1, 591) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

GCD of 340, 147, 591, 992 is 1

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1. What is the GCD of 340, 147, 591, 992?

GCD of 340, 147, 591, 992 is 1

2. Where do I get the detailed procedure to find GCD of 340, 147, 591, 992?

You can find a detailed procedure to find GCD of 340, 147, 591, 992 on our page.

3. How to find GCD of 340, 147, 591, 992 on a calculator?

You can find the GCD of 340, 147, 591, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.