GCD of 83, 130, 134, 490 Calculator

Given Input numbers are 83, 130, 134, 490

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

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 83, 130, 134, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 130, 134, 490 is 1.

Therefore, GCD of numbers 83, 130, 134, 490 is 1

Given Input Data is 83, 130, 134, 490

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

Prime Factorization of 83 is 83

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 134 is 2 x 67

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(83, 130) = 10790

GCD(83, 130) = ( 83 x 130 ) / 10790

GCD(83, 130) = 10790 / 10790

GCD(83, 130) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 134

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

LCM(1, 134) = 134

GCD(1, 134) = ( 1 x 134 ) / 134

GCD(1, 134) = 134 / 134

GCD(1, 134) = 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 83, 130, 134, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 446, 764, 637
• GCD of 17, 870, 172, 415
• GCD of 42, 778, 532, 534
• GCD of 57, 591, 338, 912
• GCD of 84, 649, 140, 907

1. What is the GCD of 83, 130, 134, 490?

GCD of 83, 130, 134, 490 is 1

2. Where do I get the detailed procedure to find GCD of 83, 130, 134, 490?

You can find a detailed procedure to find GCD of 83, 130, 134, 490 on our page.

3. How to find GCD of 83, 130, 134, 490 on a calculator?

You can find the GCD of 83, 130, 134, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.