GCD of 68, 930, 160, 464 Calculator

Given Input numbers are 68, 930, 160, 464

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

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

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 68, 930, 160, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 930, 160, 464 is 2.

Therefore, GCD of numbers 68, 930, 160, 464 is 2

Given Input Data is 68, 930, 160, 464

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

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(68, 930) = 31620

GCD(68, 930) = ( 68 x 930 ) / 31620

GCD(68, 930) = 63240 / 31620

GCD(68, 930) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 160

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

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

GCD(2, 160) = 320 / 160

GCD(2, 160) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 464

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

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

GCD(2, 464) = 928 / 464

GCD(2, 464) = 2

GCD of 68, 930, 160, 464 is 2

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1. What is the GCD of 68, 930, 160, 464?

GCD of 68, 930, 160, 464 is 2

2. Where do I get the detailed procedure to find GCD of 68, 930, 160, 464?

You can find a detailed procedure to find GCD of 68, 930, 160, 464 on our page.

3. How to find GCD of 68, 930, 160, 464 on a calculator?

You can find the GCD of 68, 930, 160, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.