GCD of 676, 992, 27, 148 Calculator

Given Input numbers are 676, 992, 27, 148

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

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 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 676, 992, 27, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 992, 27, 148 is 1.

Therefore, GCD of numbers 676, 992, 27, 148 is 1

Given Input Data is 676, 992, 27, 148

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

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 148 is 2 x 2 x 37

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(676, 992) = 167648

GCD(676, 992) = ( 676 x 992 ) / 167648

GCD(676, 992) = 670592 / 167648

GCD(676, 992) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 27

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

LCM(4, 27) = 108

GCD(4, 27) = ( 4 x 27 ) / 108

GCD(4, 27) = 108 / 108

GCD(4, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 676, 992, 27, 148 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 677, 775, 74, 111
• GCD of 355, 796, 98, 774
• GCD of 421, 590, 75, 517
• GCD of 747, 594, 80, 926
• GCD of 388, 443, 26, 627

1. What is the GCD of 676, 992, 27, 148?

GCD of 676, 992, 27, 148 is 1

2. Where do I get the detailed procedure to find GCD of 676, 992, 27, 148?

You can find a detailed procedure to find GCD of 676, 992, 27, 148 on our page.

3. How to find GCD of 676, 992, 27, 148 on a calculator?

You can find the GCD of 676, 992, 27, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.