GCD of 79, 120, 199, 758 Calculator

Given Input numbers are 79, 120, 199, 758

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

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 79, 120, 199, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 79, 120, 199, 758 is 1.

Therefore, GCD of numbers 79, 120, 199, 758 is 1

Given Input Data is 79, 120, 199, 758

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

Prime Factorization of 79 is 79

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 199 is 199

Prime Factorization of 758 is 2 x 379

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(79, 120) = 9480

GCD(79, 120) = ( 79 x 120 ) / 9480

GCD(79, 120) = 9480 / 9480

GCD(79, 120) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 758

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

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 1

GCD of 79, 120, 199, 758 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 158, 916, 939
• GCD of 21, 400, 743, 590
• GCD of 64, 908, 931, 589
• GCD of 98, 100, 112, 582
• GCD of 24, 449, 393, 450

1. What is the GCD of 79, 120, 199, 758?

GCD of 79, 120, 199, 758 is 1

2. Where do I get the detailed procedure to find GCD of 79, 120, 199, 758?

You can find a detailed procedure to find GCD of 79, 120, 199, 758 on our page.

3. How to find GCD of 79, 120, 199, 758 on a calculator?

You can find the GCD of 79, 120, 199, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.