GCD of 231, 740, 54, 785 Calculator

Given Input numbers are 231, 740, 54, 785

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Greatest Common Divisior

We found the divisors of 231, 740, 54, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 740, 54, 785 is 1.

Therefore, GCD of numbers 231, 740, 54, 785 is 1

Given Input Data is 231, 740, 54, 785

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 785 is 5 x 157

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(231, 740) = 170940

GCD(231, 740) = ( 231 x 740 ) / 170940

GCD(231, 740) = 170940 / 170940

GCD(231, 740) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 785

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

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

GCD(1, 785) = 785 / 785

GCD(1, 785) = 1

GCD of 231, 740, 54, 785 is 1

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1. What is the GCD of 231, 740, 54, 785?

GCD of 231, 740, 54, 785 is 1

2. Where do I get the detailed procedure to find GCD of 231, 740, 54, 785?

You can find a detailed procedure to find GCD of 231, 740, 54, 785 on our page.

3. How to find GCD of 231, 740, 54, 785 on a calculator?

You can find the GCD of 231, 740, 54, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.