GCD of 849, 920, 78, 464 Calculator

Given Input numbers are 849, 920, 78, 464

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

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 849, 920, 78, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 920, 78, 464 is 1.

Therefore, GCD of numbers 849, 920, 78, 464 is 1

Given Input Data is 849, 920, 78, 464

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

Prime Factorization of 849 is 3 x 283

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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(849, 920) = 781080

GCD(849, 920) = ( 849 x 920 ) / 781080

GCD(849, 920) = 781080 / 781080

GCD(849, 920) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 464

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

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

GCD(1, 464) = 464 / 464

GCD(1, 464) = 1

GCD of 849, 920, 78, 464 is 1

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• GCD of 222, 287, 97, 477
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• GCD of 947, 413, 67, 389

1. What is the GCD of 849, 920, 78, 464?

GCD of 849, 920, 78, 464 is 1

2. Where do I get the detailed procedure to find GCD of 849, 920, 78, 464?

You can find a detailed procedure to find GCD of 849, 920, 78, 464 on our page.

3. How to find GCD of 849, 920, 78, 464 on a calculator?

You can find the GCD of 849, 920, 78, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.