GCD of 865, 185, 735, 148 Calculator

Given Input numbers are 865, 185, 735, 148

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 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

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 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 865, 185, 735, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 865, 185, 735, 148 is 1.

Therefore, GCD of numbers 865, 185, 735, 148 is 1

Given Input Data is 865, 185, 735, 148

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

Prime Factorization of 865 is 5 x 173

Prime Factorization of 185 is 5 x 37

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

Prime Factorization of 148 is 2 x 2 x 37

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, 185) = 32005

GCD(865, 185) = ( 865 x 185 ) / 32005

GCD(865, 185) = 160025 / 32005

GCD(865, 185) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 735

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

LCM(5, 735) = 735

GCD(5, 735) = ( 5 x 735 ) / 735

GCD(5, 735) = 3675 / 735

GCD(5, 735) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 148

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

LCM(5, 148) = 740

GCD(5, 148) = ( 5 x 148 ) / 740

GCD(5, 148) = 740 / 740

GCD(5, 148) = 1

GCD of 865, 185, 735, 148 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 920, 213, 894, 507
• GCD of 974, 176, 327, 553
• GCD of 325, 350, 957, 749
• GCD of 162, 779, 560, 218
• GCD of 307, 765, 858, 445

1. What is the GCD of 865, 185, 735, 148?

GCD of 865, 185, 735, 148 is 1

2. Where do I get the detailed procedure to find GCD of 865, 185, 735, 148?

You can find a detailed procedure to find GCD of 865, 185, 735, 148 on our page.

3. How to find GCD of 865, 185, 735, 148 on a calculator?

You can find the GCD of 865, 185, 735, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.