GCD of 946, 721, 576, 352 Calculator

Given Input numbers are 946, 721, 576, 352

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 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 946, 721, 576, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 721, 576, 352 is 1.

Therefore, GCD of numbers 946, 721, 576, 352 is 1

Given Input Data is 946, 721, 576, 352

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 721 is 7 x 103

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 352 is 2 x 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(946, 721) = 682066

GCD(946, 721) = ( 946 x 721 ) / 682066

GCD(946, 721) = 682066 / 682066

GCD(946, 721) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 576

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

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

GCD(1, 576) = 576 / 576

GCD(1, 576) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

GCD of 946, 721, 576, 352 is 1

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1. What is the GCD of 946, 721, 576, 352?

GCD of 946, 721, 576, 352 is 1

2. Where do I get the detailed procedure to find GCD of 946, 721, 576, 352?

You can find a detailed procedure to find GCD of 946, 721, 576, 352 on our page.

3. How to find GCD of 946, 721, 576, 352 on a calculator?

You can find the GCD of 946, 721, 576, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.