GCD of 342, 783, 64, 998 Calculator

Given Input numbers are 342, 783, 64, 998

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 342, 783, 64, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 783, 64, 998 is 1.

Therefore, GCD of numbers 342, 783, 64, 998 is 1

Given Input Data is 342, 783, 64, 998

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 998 is 2 x 499

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(342, 783) = 29754

GCD(342, 783) = ( 342 x 783 ) / 29754

GCD(342, 783) = 267786 / 29754

GCD(342, 783) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 64

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

LCM(9, 64) = 576

GCD(9, 64) = ( 9 x 64 ) / 576

GCD(9, 64) = 576 / 576

GCD(9, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 342, 783, 64, 998 is 1

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1. What is the GCD of 342, 783, 64, 998?

GCD of 342, 783, 64, 998 is 1

2. Where do I get the detailed procedure to find GCD of 342, 783, 64, 998?

You can find a detailed procedure to find GCD of 342, 783, 64, 998 on our page.

3. How to find GCD of 342, 783, 64, 998 on a calculator?

You can find the GCD of 342, 783, 64, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.