GCD of 654, 876, 83, 989 Calculator

Given Input numbers are 654, 876, 83, 989

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 654, 876, 83, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 876, 83, 989 is 1.

Therefore, GCD of numbers 654, 876, 83, 989 is 1

Given Input Data is 654, 876, 83, 989

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 83 is 83

Prime Factorization of 989 is 23 x 43

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(654, 876) = 95484

GCD(654, 876) = ( 654 x 876 ) / 95484

GCD(654, 876) = 572904 / 95484

GCD(654, 876) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 83

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

LCM(6, 83) = 498

GCD(6, 83) = ( 6 x 83 ) / 498

GCD(6, 83) = 498 / 498

GCD(6, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 654, 876, 83, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 756, 722, 83, 186
• GCD of 598, 919, 12, 867
• GCD of 233, 613, 88, 513
• GCD of 142, 465, 42, 131
• GCD of 585, 819, 38, 300

1. What is the GCD of 654, 876, 83, 989?

GCD of 654, 876, 83, 989 is 1

2. Where do I get the detailed procedure to find GCD of 654, 876, 83, 989?

You can find a detailed procedure to find GCD of 654, 876, 83, 989 on our page.

3. How to find GCD of 654, 876, 83, 989 on a calculator?

You can find the GCD of 654, 876, 83, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.