GCD of 48, 988, 687, 669 Calculator

Given Input numbers are 48, 988, 687, 669

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Greatest Common Divisior

We found the divisors of 48, 988, 687, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 988, 687, 669 is 1.

Therefore, GCD of numbers 48, 988, 687, 669 is 1

Given Input Data is 48, 988, 687, 669

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 669 is 3 x 223

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(48, 988) = 11856

GCD(48, 988) = ( 48 x 988 ) / 11856

GCD(48, 988) = 47424 / 11856

GCD(48, 988) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 687

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

LCM(4, 687) = 2748

GCD(4, 687) = ( 4 x 687 ) / 2748

GCD(4, 687) = 2748 / 2748

GCD(4, 687) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 669

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

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

GCD(1, 669) = 669 / 669

GCD(1, 669) = 1

GCD of 48, 988, 687, 669 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 88, 374, 651, 625
• GCD of 13, 776, 529, 740
• GCD of 86, 941, 926, 510
• GCD of 67, 407, 398, 673
• GCD of 29, 500, 194, 921

1. What is the GCD of 48, 988, 687, 669?

GCD of 48, 988, 687, 669 is 1

2. Where do I get the detailed procedure to find GCD of 48, 988, 687, 669?

You can find a detailed procedure to find GCD of 48, 988, 687, 669 on our page.

3. How to find GCD of 48, 988, 687, 669 on a calculator?

You can find the GCD of 48, 988, 687, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.