GCD of 302, 175, 254, 142 Calculator

Given Input numbers are 302, 175, 254, 142

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

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 302, 175, 254, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 175, 254, 142 is 1.

Therefore, GCD of numbers 302, 175, 254, 142 is 1

Given Input Data is 302, 175, 254, 142

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 254 is 2 x 127

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(302, 175) = 52850

GCD(302, 175) = ( 302 x 175 ) / 52850

GCD(302, 175) = 52850 / 52850

GCD(302, 175) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 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 302, 175, 254, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 656, 143, 293, 824
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• GCD of 774, 189, 263, 397

1. What is the GCD of 302, 175, 254, 142?

GCD of 302, 175, 254, 142 is 1

2. Where do I get the detailed procedure to find GCD of 302, 175, 254, 142?

You can find a detailed procedure to find GCD of 302, 175, 254, 142 on our page.

3. How to find GCD of 302, 175, 254, 142 on a calculator?

You can find the GCD of 302, 175, 254, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.