GCD of 498, 295, 60, 120 Calculator

Given Input numbers are 498, 295, 60, 120

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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

Greatest Common Divisior

We found the divisors of 498, 295, 60, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 295, 60, 120 is 1.

Therefore, GCD of numbers 498, 295, 60, 120 is 1

Given Input Data is 498, 295, 60, 120

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 295 is 5 x 59

Prime Factorization of 60 is 2 x 2 x 3 x 5

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

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(498, 295) = 146910

GCD(498, 295) = ( 498 x 295 ) / 146910

GCD(498, 295) = 146910 / 146910

GCD(498, 295) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 498, 295, 60, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 773, 643, 20, 488
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1. What is the GCD of 498, 295, 60, 120?

GCD of 498, 295, 60, 120 is 1

2. Where do I get the detailed procedure to find GCD of 498, 295, 60, 120?

You can find a detailed procedure to find GCD of 498, 295, 60, 120 on our page.

3. How to find GCD of 498, 295, 60, 120 on a calculator?

You can find the GCD of 498, 295, 60, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.