GCD of 85, 866, 318, 748 Calculator

Given Input numbers are 85, 866, 318, 748

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

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 85, 866, 318, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 866, 318, 748 is 1.

Therefore, GCD of numbers 85, 866, 318, 748 is 1

Given Input Data is 85, 866, 318, 748

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 866 is 2 x 433

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(85, 866) = 73610

GCD(85, 866) = ( 85 x 866 ) / 73610

GCD(85, 866) = 73610 / 73610

GCD(85, 866) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 85, 866, 318, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 88, 212, 179, 561
• GCD of 80, 131, 278, 222
• GCD of 46, 302, 830, 185
• GCD of 17, 897, 979, 296
• GCD of 56, 997, 563, 254

1. What is the GCD of 85, 866, 318, 748?

GCD of 85, 866, 318, 748 is 1

2. Where do I get the detailed procedure to find GCD of 85, 866, 318, 748?

You can find a detailed procedure to find GCD of 85, 866, 318, 748 on our page.

3. How to find GCD of 85, 866, 318, 748 on a calculator?

You can find the GCD of 85, 866, 318, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.