GCD of 502, 140, 88, 289 Calculator

Given Input numbers are 502, 140, 88, 289

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

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 502, 140, 88, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 140, 88, 289 is 1.

Therefore, GCD of numbers 502, 140, 88, 289 is 1

Given Input Data is 502, 140, 88, 289

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 289 is 17 x 17

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(502, 140) = 35140

GCD(502, 140) = ( 502 x 140 ) / 35140

GCD(502, 140) = 70280 / 35140

GCD(502, 140) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 88

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

LCM(2, 88) = 88

GCD(2, 88) = ( 2 x 88 ) / 88

GCD(2, 88) = 176 / 88

GCD(2, 88) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 289

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

LCM(2, 289) = 578

GCD(2, 289) = ( 2 x 289 ) / 578

GCD(2, 289) = 578 / 578

GCD(2, 289) = 1

GCD of 502, 140, 88, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 450, 619, 26, 739
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• GCD of 260, 214, 76, 978
• GCD of 192, 525, 47, 827

1. What is the GCD of 502, 140, 88, 289?

GCD of 502, 140, 88, 289 is 1

2. Where do I get the detailed procedure to find GCD of 502, 140, 88, 289?

You can find a detailed procedure to find GCD of 502, 140, 88, 289 on our page.

3. How to find GCD of 502, 140, 88, 289 on a calculator?

You can find the GCD of 502, 140, 88, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.