GCD of 320, 142, 102, 616 Calculator

Given Input numbers are 320, 142, 102, 616

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 320, 142, 102, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 142, 102, 616 is 2.

Therefore, GCD of numbers 320, 142, 102, 616 is 2

Given Input Data is 320, 142, 102, 616

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 142 is 2 x 71

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

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(320, 142) = 22720

GCD(320, 142) = ( 320 x 142 ) / 22720

GCD(320, 142) = 45440 / 22720

GCD(320, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 102

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

LCM(2, 102) = 102

GCD(2, 102) = ( 2 x 102 ) / 102

GCD(2, 102) = 204 / 102

GCD(2, 102) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 616

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

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

GCD(2, 616) = 1232 / 616

GCD(2, 616) = 2

GCD of 320, 142, 102, 616 is 2

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1. What is the GCD of 320, 142, 102, 616?

GCD of 320, 142, 102, 616 is 2

2. Where do I get the detailed procedure to find GCD of 320, 142, 102, 616?

You can find a detailed procedure to find GCD of 320, 142, 102, 616 on our page.

3. How to find GCD of 320, 142, 102, 616 on a calculator?

You can find the GCD of 320, 142, 102, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.