GCD of 292, 120, 341, 176 Calculator

Given Input numbers are 292, 120, 341, 176

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

Divisors of 292

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

1, 2, 4, 73, 146, 292

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Greatest Common Divisior

We found the divisors of 292, 120, 341, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 292, 120, 341, 176 is 1.

Therefore, GCD of numbers 292, 120, 341, 176 is 1

Given Input Data is 292, 120, 341, 176

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

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 341 is 11 x 31

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

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(292, 120) = 8760

GCD(292, 120) = ( 292 x 120 ) / 8760

GCD(292, 120) = 35040 / 8760

GCD(292, 120) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 341

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

LCM(4, 341) = 1364

GCD(4, 341) = ( 4 x 341 ) / 1364

GCD(4, 341) = 1364 / 1364

GCD(4, 341) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 176

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

LCM(1, 176) = 176

GCD(1, 176) = ( 1 x 176 ) / 176

GCD(1, 176) = 176 / 176

GCD(1, 176) = 1

GCD of 292, 120, 341, 176 is 1

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1. What is the GCD of 292, 120, 341, 176?

GCD of 292, 120, 341, 176 is 1

2. Where do I get the detailed procedure to find GCD of 292, 120, 341, 176?

You can find a detailed procedure to find GCD of 292, 120, 341, 176 on our page.

3. How to find GCD of 292, 120, 341, 176 on a calculator?

You can find the GCD of 292, 120, 341, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.