GCD of 117, 434, 15, 490 Calculator

Given Input numbers are 117, 434, 15, 490

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Greatest Common Divisior

We found the divisors of 117, 434, 15, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 434, 15, 490 is 1.

Therefore, GCD of numbers 117, 434, 15, 490 is 1

Given Input Data is 117, 434, 15, 490

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 15 is 3 x 5

Prime Factorization of 490 is 2 x 5 x 7 x 7

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(117, 434) = 50778

GCD(117, 434) = ( 117 x 434 ) / 50778

GCD(117, 434) = 50778 / 50778

GCD(117, 434) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

GCD of 117, 434, 15, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 774, 77, 361
• GCD of 740, 343, 45, 907
• GCD of 943, 213, 65, 387
• GCD of 876, 128, 63, 207
• GCD of 325, 160, 62, 993

1. What is the GCD of 117, 434, 15, 490?

GCD of 117, 434, 15, 490 is 1

2. Where do I get the detailed procedure to find GCD of 117, 434, 15, 490?

You can find a detailed procedure to find GCD of 117, 434, 15, 490 on our page.

3. How to find GCD of 117, 434, 15, 490 on a calculator?

You can find the GCD of 117, 434, 15, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.