GCD of 232, 992, 160, 614 Calculator

Given Input numbers are 232, 992, 160, 614

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

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

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

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

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 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 232, 992, 160, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 992, 160, 614 is 2.

Therefore, GCD of numbers 232, 992, 160, 614 is 2

Given Input Data is 232, 992, 160, 614

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

Prime Factorization of 232 is 2 x 2 x 2 x 29

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

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

Prime Factorization of 614 is 2 x 307

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(232, 992) = 28768

GCD(232, 992) = ( 232 x 992 ) / 28768

GCD(232, 992) = 230144 / 28768

GCD(232, 992) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 160

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

LCM(8, 160) = 160

GCD(8, 160) = ( 8 x 160 ) / 160

GCD(8, 160) = 1280 / 160

GCD(8, 160) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 614

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

LCM(8, 614) = 2456

GCD(8, 614) = ( 8 x 614 ) / 2456

GCD(8, 614) = 4912 / 2456

GCD(8, 614) = 2

GCD of 232, 992, 160, 614 is 2

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1. What is the GCD of 232, 992, 160, 614?

GCD of 232, 992, 160, 614 is 2

2. Where do I get the detailed procedure to find GCD of 232, 992, 160, 614?

You can find a detailed procedure to find GCD of 232, 992, 160, 614 on our page.

3. How to find GCD of 232, 992, 160, 614 on a calculator?

You can find the GCD of 232, 992, 160, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.