GCD of 608, 735, 54, 843 Calculator

Given Input numbers are 608, 735, 54, 843

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

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

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 54

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

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

Divisors of 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Greatest Common Divisior

We found the divisors of 608, 735, 54, 843 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 608, 735, 54, 843 is 1.

Therefore, GCD of numbers 608, 735, 54, 843 is 1

Given Input Data is 608, 735, 54, 843

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

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

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

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

Prime Factorization of 843 is 3 x 281

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(608, 735) = 446880

GCD(608, 735) = ( 608 x 735 ) / 446880

GCD(608, 735) = 446880 / 446880

GCD(608, 735) = 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 843

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

LCM(1, 843) = 843

GCD(1, 843) = ( 1 x 843 ) / 843

GCD(1, 843) = 843 / 843

GCD(1, 843) = 1

GCD of 608, 735, 54, 843 is 1

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1. What is the GCD of 608, 735, 54, 843?

GCD of 608, 735, 54, 843 is 1

2. Where do I get the detailed procedure to find GCD of 608, 735, 54, 843?

You can find a detailed procedure to find GCD of 608, 735, 54, 843 on our page.

3. How to find GCD of 608, 735, 54, 843 on a calculator?

You can find the GCD of 608, 735, 54, 843 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.