GCD of 109, 607, 992, 798 Calculator

Given Input numbers are 109, 607, 992, 798

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

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 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Greatest Common Divisior

We found the divisors of 109, 607, 992, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 607, 992, 798 is 1.

Therefore, GCD of numbers 109, 607, 992, 798 is 1

Given Input Data is 109, 607, 992, 798

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

Prime Factorization of 109 is 109

Prime Factorization of 607 is 607

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

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(109, 607) = 66163

GCD(109, 607) = ( 109 x 607 ) / 66163

GCD(109, 607) = 66163 / 66163

GCD(109, 607) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 798

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

LCM(1, 798) = 798

GCD(1, 798) = ( 1 x 798 ) / 798

GCD(1, 798) = 798 / 798

GCD(1, 798) = 1

GCD of 109, 607, 992, 798 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 783, 830, 425, 391
• GCD of 940, 830, 102, 179
• GCD of 276, 953, 521, 435
• GCD of 532, 251, 435, 671
• GCD of 419, 994, 304, 799

1. What is the GCD of 109, 607, 992, 798?

GCD of 109, 607, 992, 798 is 1

2. Where do I get the detailed procedure to find GCD of 109, 607, 992, 798?

You can find a detailed procedure to find GCD of 109, 607, 992, 798 on our page.

3. How to find GCD of 109, 607, 992, 798 on a calculator?

You can find the GCD of 109, 607, 992, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.