GCD of 668, 380, 993, 464 Calculator

Given Input numbers are 668, 380, 993, 464

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

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 668, 380, 993, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 668, 380, 993, 464 is 1.

Therefore, GCD of numbers 668, 380, 993, 464 is 1

Given Input Data is 668, 380, 993, 464

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

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 993 is 3 x 331

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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(668, 380) = 63460

GCD(668, 380) = ( 668 x 380 ) / 63460

GCD(668, 380) = 253840 / 63460

GCD(668, 380) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 993

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

LCM(4, 993) = 3972

GCD(4, 993) = ( 4 x 993 ) / 3972

GCD(4, 993) = 3972 / 3972

GCD(4, 993) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 464

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

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

GCD(1, 464) = 464 / 464

GCD(1, 464) = 1

GCD of 668, 380, 993, 464 is 1

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1. What is the GCD of 668, 380, 993, 464?

GCD of 668, 380, 993, 464 is 1

2. Where do I get the detailed procedure to find GCD of 668, 380, 993, 464?

You can find a detailed procedure to find GCD of 668, 380, 993, 464 on our page.

3. How to find GCD of 668, 380, 993, 464 on a calculator?

You can find the GCD of 668, 380, 993, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.