GCD of 341, 144, 74, 946 Calculator

Given Input numbers are 341, 144, 74, 946

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

Divisors of 341

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

1, 11, 31, 341

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 946

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

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

Greatest Common Divisior

We found the divisors of 341, 144, 74, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 341, 144, 74, 946 is 1.

Therefore, GCD of numbers 341, 144, 74, 946 is 1

Given Input Data is 341, 144, 74, 946

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

Prime Factorization of 341 is 11 x 31

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 74 is 2 x 37

Prime Factorization of 946 is 2 x 11 x 43

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(341, 144) = 49104

GCD(341, 144) = ( 341 x 144 ) / 49104

GCD(341, 144) = 49104 / 49104

GCD(341, 144) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

GCD of 341, 144, 74, 946 is 1

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• GCD of 986, 831, 37, 506
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1. What is the GCD of 341, 144, 74, 946?

GCD of 341, 144, 74, 946 is 1

2. Where do I get the detailed procedure to find GCD of 341, 144, 74, 946?

You can find a detailed procedure to find GCD of 341, 144, 74, 946 on our page.

3. How to find GCD of 341, 144, 74, 946 on a calculator?

You can find the GCD of 341, 144, 74, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.