GCD of 142, 352, 474, 313 Calculator

Given Input numbers are 142, 352, 474, 313

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

Divisors of 142

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

1, 2, 71, 142

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 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 142, 352, 474, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 352, 474, 313 is 1.

Therefore, GCD of numbers 142, 352, 474, 313 is 1

Given Input Data is 142, 352, 474, 313

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

Prime Factorization of 142 is 2 x 71

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 313 is 313

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(142, 352) = 24992

GCD(142, 352) = ( 142 x 352 ) / 24992

GCD(142, 352) = 49984 / 24992

GCD(142, 352) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 474

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

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

GCD(2, 474) = 948 / 474

GCD(2, 474) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 313

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

LCM(2, 313) = 626

GCD(2, 313) = ( 2 x 313 ) / 626

GCD(2, 313) = 626 / 626

GCD(2, 313) = 1

GCD of 142, 352, 474, 313 is 1

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1. What is the GCD of 142, 352, 474, 313?

GCD of 142, 352, 474, 313 is 1

2. Where do I get the detailed procedure to find GCD of 142, 352, 474, 313?

You can find a detailed procedure to find GCD of 142, 352, 474, 313 on our page.

3. How to find GCD of 142, 352, 474, 313 on a calculator?

You can find the GCD of 142, 352, 474, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.