GCD of 99, 992, 976, 674 Calculator

Given Input numbers are 99, 992, 976, 674

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

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

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 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 99, 992, 976, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 992, 976, 674 is 1.

Therefore, GCD of numbers 99, 992, 976, 674 is 1

Given Input Data is 99, 992, 976, 674

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

Prime Factorization of 99 is 3 x 3 x 11

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 674 is 2 x 337

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(99, 992) = 98208

GCD(99, 992) = ( 99 x 992 ) / 98208

GCD(99, 992) = 98208 / 98208

GCD(99, 992) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 976

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

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

GCD(1, 976) = 976 / 976

GCD(1, 976) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 99, 992, 976, 674 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 689, 112, 869
• GCD of 31, 579, 594, 986
• GCD of 92, 185, 638, 754
• GCD of 15, 589, 232, 886
• GCD of 12, 850, 830, 340

1. What is the GCD of 99, 992, 976, 674?

GCD of 99, 992, 976, 674 is 1

2. Where do I get the detailed procedure to find GCD of 99, 992, 976, 674?

You can find a detailed procedure to find GCD of 99, 992, 976, 674 on our page.

3. How to find GCD of 99, 992, 976, 674 on a calculator?

You can find the GCD of 99, 992, 976, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.