GCD of 374, 302, 23, 292 Calculator

Given Input numbers are 374, 302, 23, 292

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

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 302

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

1, 2, 151, 302

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Greatest Common Divisior

We found the divisors of 374, 302, 23, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 302, 23, 292 is 1.

Therefore, GCD of numbers 374, 302, 23, 292 is 1

Given Input Data is 374, 302, 23, 292

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 302 is 2 x 151

Prime Factorization of 23 is 23

Prime Factorization of 292 is 2 x 2 x 73

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(374, 302) = 56474

GCD(374, 302) = ( 374 x 302 ) / 56474

GCD(374, 302) = 112948 / 56474

GCD(374, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 23

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

LCM(2, 23) = 46

GCD(2, 23) = ( 2 x 23 ) / 46

GCD(2, 23) = 46 / 46

GCD(2, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 292

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

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

GCD(1, 292) = 292 / 292

GCD(1, 292) = 1

GCD of 374, 302, 23, 292 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 758, 644, 14, 865
• GCD of 269, 889, 19, 846
• GCD of 810, 618, 77, 293
• GCD of 520, 562, 64, 847
• GCD of 818, 936, 87, 258

1. What is the GCD of 374, 302, 23, 292?

GCD of 374, 302, 23, 292 is 1

2. Where do I get the detailed procedure to find GCD of 374, 302, 23, 292?

You can find a detailed procedure to find GCD of 374, 302, 23, 292 on our page.

3. How to find GCD of 374, 302, 23, 292 on a calculator?

You can find the GCD of 374, 302, 23, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.