GCD of 859, 225, 703, 986 Calculator

Given Input numbers are 859, 225, 703, 986

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

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 859, 225, 703, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 859, 225, 703, 986 is 1.

Therefore, GCD of numbers 859, 225, 703, 986 is 1

Given Input Data is 859, 225, 703, 986

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

Prime Factorization of 859 is 859

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 703 is 19 x 37

Prime Factorization of 986 is 2 x 17 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(859, 225) = 193275

GCD(859, 225) = ( 859 x 225 ) / 193275

GCD(859, 225) = 193275 / 193275

GCD(859, 225) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 703

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

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

GCD(1, 703) = 703 / 703

GCD(1, 703) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 859, 225, 703, 986 is 1

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1. What is the GCD of 859, 225, 703, 986?

GCD of 859, 225, 703, 986 is 1

2. Where do I get the detailed procedure to find GCD of 859, 225, 703, 986?

You can find a detailed procedure to find GCD of 859, 225, 703, 986 on our page.

3. How to find GCD of 859, 225, 703, 986 on a calculator?

You can find the GCD of 859, 225, 703, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.