GCD of 946, 120, 295, 332 Calculator

Given Input numbers are 946, 120, 295, 332

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

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

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 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Greatest Common Divisior

We found the divisors of 946, 120, 295, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 120, 295, 332 is 1.

Therefore, GCD of numbers 946, 120, 295, 332 is 1

Given Input Data is 946, 120, 295, 332

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

Prime Factorization of 946 is 2 x 11 x 43

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 332 is 2 x 2 x 83

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(946, 120) = 56760

GCD(946, 120) = ( 946 x 120 ) / 56760

GCD(946, 120) = 113520 / 56760

GCD(946, 120) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 295

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

LCM(2, 295) = 590

GCD(2, 295) = ( 2 x 295 ) / 590

GCD(2, 295) = 590 / 590

GCD(2, 295) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 332

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

LCM(1, 332) = 332

GCD(1, 332) = ( 1 x 332 ) / 332

GCD(1, 332) = 332 / 332

GCD(1, 332) = 1

GCD of 946, 120, 295, 332 is 1

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1. What is the GCD of 946, 120, 295, 332?

GCD of 946, 120, 295, 332 is 1

2. Where do I get the detailed procedure to find GCD of 946, 120, 295, 332?

You can find a detailed procedure to find GCD of 946, 120, 295, 332 on our page.

3. How to find GCD of 946, 120, 295, 332 on a calculator?

You can find the GCD of 946, 120, 295, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.