GCD of 771, 198, 968, 345 Calculator

Given Input numbers are 771, 198, 968, 345

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

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

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

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 771, 198, 968, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 198, 968, 345 is 1.

Therefore, GCD of numbers 771, 198, 968, 345 is 1

Given Input Data is 771, 198, 968, 345

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

Prime Factorization of 771 is 3 x 257

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

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 345 is 3 x 5 x 23

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(771, 198) = 50886

GCD(771, 198) = ( 771 x 198 ) / 50886

GCD(771, 198) = 152658 / 50886

GCD(771, 198) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 968

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

LCM(3, 968) = 2904

GCD(3, 968) = ( 3 x 968 ) / 2904

GCD(3, 968) = 2904 / 2904

GCD(3, 968) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 771, 198, 968, 345 is 1

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1. What is the GCD of 771, 198, 968, 345?

GCD of 771, 198, 968, 345 is 1

2. Where do I get the detailed procedure to find GCD of 771, 198, 968, 345?

You can find a detailed procedure to find GCD of 771, 198, 968, 345 on our page.

3. How to find GCD of 771, 198, 968, 345 on a calculator?

You can find the GCD of 771, 198, 968, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.