GCD of 107, 290, 489, 711 Calculator

Given Input numbers are 107, 290, 489, 711

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Greatest Common Divisior

We found the divisors of 107, 290, 489, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 290, 489, 711 is 1.

Therefore, GCD of numbers 107, 290, 489, 711 is 1

Given Input Data is 107, 290, 489, 711

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

Prime Factorization of 107 is 107

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 489 is 3 x 163

Prime Factorization of 711 is 3 x 3 x 79

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(107, 290) = 31030

GCD(107, 290) = ( 107 x 290 ) / 31030

GCD(107, 290) = 31030 / 31030

GCD(107, 290) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 711

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

LCM(1, 711) = 711

GCD(1, 711) = ( 1 x 711 ) / 711

GCD(1, 711) = 711 / 711

GCD(1, 711) = 1

GCD of 107, 290, 489, 711 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 282, 367, 535, 480
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• GCD of 930, 149, 418, 478
• GCD of 141, 978, 949, 546
• GCD of 288, 830, 534, 873

1. What is the GCD of 107, 290, 489, 711?

GCD of 107, 290, 489, 711 is 1

2. Where do I get the detailed procedure to find GCD of 107, 290, 489, 711?

You can find a detailed procedure to find GCD of 107, 290, 489, 711 on our page.

3. How to find GCD of 107, 290, 489, 711 on a calculator?

You can find the GCD of 107, 290, 489, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.