GCD of 749, 735, 156, 812 Calculator

Given Input numbers are 749, 735, 156, 812

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

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 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Greatest Common Divisior

We found the divisors of 749, 735, 156, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 735, 156, 812 is 1.

Therefore, GCD of numbers 749, 735, 156, 812 is 1

Given Input Data is 749, 735, 156, 812

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

Prime Factorization of 749 is 7 x 107

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

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 812 is 2 x 2 x 7 x 29

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(749, 735) = 78645

GCD(749, 735) = ( 749 x 735 ) / 78645

GCD(749, 735) = 550515 / 78645

GCD(749, 735) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 156

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

LCM(7, 156) = 1092

GCD(7, 156) = ( 7 x 156 ) / 1092

GCD(7, 156) = 1092 / 1092

GCD(7, 156) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 812

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

LCM(1, 812) = 812

GCD(1, 812) = ( 1 x 812 ) / 812

GCD(1, 812) = 812 / 812

GCD(1, 812) = 1

GCD of 749, 735, 156, 812 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 264, 631, 436
• GCD of 641, 922, 373, 371
• GCD of 954, 796, 340, 667
• GCD of 372, 957, 829, 304
• GCD of 739, 923, 403, 116

1. What is the GCD of 749, 735, 156, 812?

GCD of 749, 735, 156, 812 is 1

2. Where do I get the detailed procedure to find GCD of 749, 735, 156, 812?

You can find a detailed procedure to find GCD of 749, 735, 156, 812 on our page.

3. How to find GCD of 749, 735, 156, 812 on a calculator?

You can find the GCD of 749, 735, 156, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.