GCD of 492, 112, 151, 302 Calculator

Given Input numbers are 492, 112, 151, 302

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Divisors of 302

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

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 492, 112, 151, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 112, 151, 302 is 1.

Therefore, GCD of numbers 492, 112, 151, 302 is 1

Given Input Data is 492, 112, 151, 302

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 151 is 151

Prime Factorization of 302 is 2 x 151

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(492, 112) = 13776

GCD(492, 112) = ( 492 x 112 ) / 13776

GCD(492, 112) = 55104 / 13776

GCD(492, 112) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 151

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

LCM(4, 151) = 604

GCD(4, 151) = ( 4 x 151 ) / 604

GCD(4, 151) = 604 / 604

GCD(4, 151) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

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

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

GCD of 492, 112, 151, 302 is 1

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• GCD of 463, 752, 115, 492

1. What is the GCD of 492, 112, 151, 302?

GCD of 492, 112, 151, 302 is 1

2. Where do I get the detailed procedure to find GCD of 492, 112, 151, 302?

You can find a detailed procedure to find GCD of 492, 112, 151, 302 on our page.

3. How to find GCD of 492, 112, 151, 302 on a calculator?

You can find the GCD of 492, 112, 151, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.