GCD of 988, 968, 884, 419 Calculator

Given Input numbers are 988, 968, 884, 419

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

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Greatest Common Divisior

We found the divisors of 988, 968, 884, 419 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 968, 884, 419 is 1.

Therefore, GCD of numbers 988, 968, 884, 419 is 1

Given Input Data is 988, 968, 884, 419

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

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 419 is 419

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(988, 968) = 239096

GCD(988, 968) = ( 988 x 968 ) / 239096

GCD(988, 968) = 956384 / 239096

GCD(988, 968) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 884

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

LCM(4, 884) = 884

GCD(4, 884) = ( 4 x 884 ) / 884

GCD(4, 884) = 3536 / 884

GCD(4, 884) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 419

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

LCM(4, 419) = 1676

GCD(4, 419) = ( 4 x 419 ) / 1676

GCD(4, 419) = 1676 / 1676

GCD(4, 419) = 1

GCD of 988, 968, 884, 419 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 776, 643, 921
• GCD of 345, 798, 486, 350
• GCD of 891, 657, 833, 177
• GCD of 861, 280, 841, 748
• GCD of 582, 138, 642, 645

1. What is the GCD of 988, 968, 884, 419?

GCD of 988, 968, 884, 419 is 1

2. Where do I get the detailed procedure to find GCD of 988, 968, 884, 419?

You can find a detailed procedure to find GCD of 988, 968, 884, 419 on our page.

3. How to find GCD of 988, 968, 884, 419 on a calculator?

You can find the GCD of 988, 968, 884, 419 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.