GCD of 39, 748, 545, 860 Calculator

Given Input numbers are 39, 748, 545, 860

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

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

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Greatest Common Divisior

We found the divisors of 39, 748, 545, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 748, 545, 860 is 1.

Therefore, GCD of numbers 39, 748, 545, 860 is 1

Given Input Data is 39, 748, 545, 860

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

Prime Factorization of 39 is 3 x 13

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

Prime Factorization of 545 is 5 x 109

Prime Factorization of 860 is 2 x 2 x 5 x 43

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(39, 748) = 29172

GCD(39, 748) = ( 39 x 748 ) / 29172

GCD(39, 748) = 29172 / 29172

GCD(39, 748) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 545

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

LCM(1, 545) = 545

GCD(1, 545) = ( 1 x 545 ) / 545

GCD(1, 545) = 545 / 545

GCD(1, 545) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 860

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

LCM(1, 860) = 860

GCD(1, 860) = ( 1 x 860 ) / 860

GCD(1, 860) = 860 / 860

GCD(1, 860) = 1

GCD of 39, 748, 545, 860 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 182, 503, 275
• GCD of 78, 938, 786, 104
• GCD of 10, 961, 817, 752
• GCD of 50, 448, 546, 239
• GCD of 43, 258, 294, 708

1. What is the GCD of 39, 748, 545, 860?

GCD of 39, 748, 545, 860 is 1

2. Where do I get the detailed procedure to find GCD of 39, 748, 545, 860?

You can find a detailed procedure to find GCD of 39, 748, 545, 860 on our page.

3. How to find GCD of 39, 748, 545, 860 on a calculator?

You can find the GCD of 39, 748, 545, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.