GCD of 275, 152, 478, 142 Calculator

Given Input numbers are 275, 152, 478, 142

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

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

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 275, 152, 478, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 275, 152, 478, 142 is 1.

Therefore, GCD of numbers 275, 152, 478, 142 is 1

Given Input Data is 275, 152, 478, 142

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

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 478 is 2 x 239

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(275, 152) = 41800

GCD(275, 152) = ( 275 x 152 ) / 41800

GCD(275, 152) = 41800 / 41800

GCD(275, 152) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 478

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

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

GCD(1, 478) = 478 / 478

GCD(1, 478) = 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 275, 152, 478, 142 is 1

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1. What is the GCD of 275, 152, 478, 142?

GCD of 275, 152, 478, 142 is 1

2. Where do I get the detailed procedure to find GCD of 275, 152, 478, 142?

You can find a detailed procedure to find GCD of 275, 152, 478, 142 on our page.

3. How to find GCD of 275, 152, 478, 142 on a calculator?

You can find the GCD of 275, 152, 478, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.