GCD of 844, 857, 90, 749 Calculator

Given Input numbers are 844, 857, 90, 749

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

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 844, 857, 90, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 844, 857, 90, 749 is 1.

Therefore, GCD of numbers 844, 857, 90, 749 is 1

Given Input Data is 844, 857, 90, 749

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

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 857 is 857

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 749 is 7 x 107

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(844, 857) = 723308

GCD(844, 857) = ( 844 x 857 ) / 723308

GCD(844, 857) = 723308 / 723308

GCD(844, 857) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 844, 857, 90, 749 is 1

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1. What is the GCD of 844, 857, 90, 749?

GCD of 844, 857, 90, 749 is 1

2. Where do I get the detailed procedure to find GCD of 844, 857, 90, 749?

You can find a detailed procedure to find GCD of 844, 857, 90, 749 on our page.

3. How to find GCD of 844, 857, 90, 749 on a calculator?

You can find the GCD of 844, 857, 90, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.