GCD of 87, 676, 981, 998 Calculator

Given Input numbers are 87, 676, 981, 998

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

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 87, 676, 981, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 676, 981, 998 is 1.

Therefore, GCD of numbers 87, 676, 981, 998 is 1

Given Input Data is 87, 676, 981, 998

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 998 is 2 x 499

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(87, 676) = 58812

GCD(87, 676) = ( 87 x 676 ) / 58812

GCD(87, 676) = 58812 / 58812

GCD(87, 676) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 981

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

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

GCD(1, 981) = 981 / 981

GCD(1, 981) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 87, 676, 981, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 495, 781, 655
• GCD of 11, 196, 874, 293
• GCD of 68, 895, 689, 568
• GCD of 57, 884, 580, 264
• GCD of 62, 793, 507, 917

1. What is the GCD of 87, 676, 981, 998?

GCD of 87, 676, 981, 998 is 1

2. Where do I get the detailed procedure to find GCD of 87, 676, 981, 998?

You can find a detailed procedure to find GCD of 87, 676, 981, 998 on our page.

3. How to find GCD of 87, 676, 981, 998 on a calculator?

You can find the GCD of 87, 676, 981, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.