GCD of 120, 491, 29, 734 Calculator

Given Input numbers are 120, 491, 29, 734

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

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 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 120, 491, 29, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 491, 29, 734 is 1.

Therefore, GCD of numbers 120, 491, 29, 734 is 1

Given Input Data is 120, 491, 29, 734

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

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

Prime Factorization of 491 is 491

Prime Factorization of 29 is 29

Prime Factorization of 734 is 2 x 367

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(120, 491) = 58920

GCD(120, 491) = ( 120 x 491 ) / 58920

GCD(120, 491) = 58920 / 58920

GCD(120, 491) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 120, 491, 29, 734 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 943, 723, 13, 275
• GCD of 942, 123, 59, 560
• GCD of 708, 484, 77, 422
• GCD of 350, 490, 73, 452
• GCD of 460, 197, 21, 796

1. What is the GCD of 120, 491, 29, 734?

GCD of 120, 491, 29, 734 is 1

2. Where do I get the detailed procedure to find GCD of 120, 491, 29, 734?

You can find a detailed procedure to find GCD of 120, 491, 29, 734 on our page.

3. How to find GCD of 120, 491, 29, 734 on a calculator?

You can find the GCD of 120, 491, 29, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.