GCD of 327, 262, 75, 142 Calculator

Given Input numbers are 327, 262, 75, 142

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

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

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 327, 262, 75, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 262, 75, 142 is 1.

Therefore, GCD of numbers 327, 262, 75, 142 is 1

Given Input Data is 327, 262, 75, 142

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

Prime Factorization of 327 is 3 x 109

Prime Factorization of 262 is 2 x 131

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 142 is 2 x 71

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(327, 262) = 85674

GCD(327, 262) = ( 327 x 262 ) / 85674

GCD(327, 262) = 85674 / 85674

GCD(327, 262) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 327, 262, 75, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 627, 877, 11, 297
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1. What is the GCD of 327, 262, 75, 142?

GCD of 327, 262, 75, 142 is 1

2. Where do I get the detailed procedure to find GCD of 327, 262, 75, 142?

You can find a detailed procedure to find GCD of 327, 262, 75, 142 on our page.

3. How to find GCD of 327, 262, 75, 142 on a calculator?

You can find the GCD of 327, 262, 75, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.