GCD of 441, 921, 85, 960 Calculator

Given Input numbers are 441, 921, 85, 960

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

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 441, 921, 85, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 441, 921, 85, 960 is 1.

Therefore, GCD of numbers 441, 921, 85, 960 is 1

Given Input Data is 441, 921, 85, 960

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

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 921 is 3 x 307

Prime Factorization of 85 is 5 x 17

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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(441, 921) = 135387

GCD(441, 921) = ( 441 x 921 ) / 135387

GCD(441, 921) = 406161 / 135387

GCD(441, 921) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 85

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

LCM(3, 85) = 255

GCD(3, 85) = ( 3 x 85 ) / 255

GCD(3, 85) = 255 / 255

GCD(3, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 441, 921, 85, 960 is 1

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1. What is the GCD of 441, 921, 85, 960?

GCD of 441, 921, 85, 960 is 1

2. Where do I get the detailed procedure to find GCD of 441, 921, 85, 960?

You can find a detailed procedure to find GCD of 441, 921, 85, 960 on our page.

3. How to find GCD of 441, 921, 85, 960 on a calculator?

You can find the GCD of 441, 921, 85, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.