GCD of 85, 249, 428, 992 Calculator

Given Input numbers are 85, 249, 428, 992

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

Divisors of 85

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

1, 5, 17, 85

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 85, 249, 428, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 249, 428, 992 is 1.

Therefore, GCD of numbers 85, 249, 428, 992 is 1

Given Input Data is 85, 249, 428, 992

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 249 is 3 x 83

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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(85, 249) = 21165

GCD(85, 249) = ( 85 x 249 ) / 21165

GCD(85, 249) = 21165 / 21165

GCD(85, 249) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

GCD of 85, 249, 428, 992 is 1

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• GCD of 58, 603, 464, 601
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1. What is the GCD of 85, 249, 428, 992?

GCD of 85, 249, 428, 992 is 1

2. Where do I get the detailed procedure to find GCD of 85, 249, 428, 992?

You can find a detailed procedure to find GCD of 85, 249, 428, 992 on our page.

3. How to find GCD of 85, 249, 428, 992 on a calculator?

You can find the GCD of 85, 249, 428, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.