GCD of 865, 742, 57, 904 Calculator

Given Input numbers are 865, 742, 57, 904

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

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Greatest Common Divisior

We found the divisors of 865, 742, 57, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 865, 742, 57, 904 is 1.

Therefore, GCD of numbers 865, 742, 57, 904 is 1

Given Input Data is 865, 742, 57, 904

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

Prime Factorization of 865 is 5 x 173

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 57 is 3 x 19

Prime Factorization of 904 is 2 x 2 x 2 x 113

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(865, 742) = 641830

GCD(865, 742) = ( 865 x 742 ) / 641830

GCD(865, 742) = 641830 / 641830

GCD(865, 742) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 904

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

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

GCD(1, 904) = 904 / 904

GCD(1, 904) = 1

GCD of 865, 742, 57, 904 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 696, 45, 814
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• GCD of 328, 290, 46, 693
• GCD of 172, 741, 18, 858
• GCD of 761, 766, 85, 265

1. What is the GCD of 865, 742, 57, 904?

GCD of 865, 742, 57, 904 is 1

2. Where do I get the detailed procedure to find GCD of 865, 742, 57, 904?

You can find a detailed procedure to find GCD of 865, 742, 57, 904 on our page.

3. How to find GCD of 865, 742, 57, 904 on a calculator?

You can find the GCD of 865, 742, 57, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.