GCD of 487, 735, 237, 109 Calculator

Given Input numbers are 487, 735, 237, 109

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

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 487, 735, 237, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 487, 735, 237, 109 is 1.

Therefore, GCD of numbers 487, 735, 237, 109 is 1

Given Input Data is 487, 735, 237, 109

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

Prime Factorization of 487 is 487

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 237 is 3 x 79

Prime Factorization of 109 is 109

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(487, 735) = 357945

GCD(487, 735) = ( 487 x 735 ) / 357945

GCD(487, 735) = 357945 / 357945

GCD(487, 735) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 237

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

LCM(1, 237) = 237

GCD(1, 237) = ( 1 x 237 ) / 237

GCD(1, 237) = 237 / 237

GCD(1, 237) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 487, 735, 237, 109 is 1

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1. What is the GCD of 487, 735, 237, 109?

GCD of 487, 735, 237, 109 is 1

2. Where do I get the detailed procedure to find GCD of 487, 735, 237, 109?

You can find a detailed procedure to find GCD of 487, 735, 237, 109 on our page.

3. How to find GCD of 487, 735, 237, 109 on a calculator?

You can find the GCD of 487, 735, 237, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.