GCD of 352, 316, 76, 142 Calculator

Given Input numbers are 352, 316, 76, 142

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 142

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

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 352, 316, 76, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 316, 76, 142 is 2.

Therefore, GCD of numbers 352, 316, 76, 142 is 2

Given Input Data is 352, 316, 76, 142

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 142 is 2 x 71

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(352, 316) = 27808

GCD(352, 316) = ( 352 x 316 ) / 27808

GCD(352, 316) = 111232 / 27808

GCD(352, 316) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 76

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

LCM(4, 76) = 76

GCD(4, 76) = ( 4 x 76 ) / 76

GCD(4, 76) = 304 / 76

GCD(4, 76) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 142

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

LCM(4, 142) = 284

GCD(4, 142) = ( 4 x 142 ) / 284

GCD(4, 142) = 568 / 284

GCD(4, 142) = 2

GCD of 352, 316, 76, 142 is 2

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1. What is the GCD of 352, 316, 76, 142?

GCD of 352, 316, 76, 142 is 2

2. Where do I get the detailed procedure to find GCD of 352, 316, 76, 142?

You can find a detailed procedure to find GCD of 352, 316, 76, 142 on our page.

3. How to find GCD of 352, 316, 76, 142 on a calculator?

You can find the GCD of 352, 316, 76, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.