GCD of 76, 149, 738, 703 Calculator

Given Input numbers are 76, 149, 738, 703

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Greatest Common Divisior

We found the divisors of 76, 149, 738, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 149, 738, 703 is 1.

Therefore, GCD of numbers 76, 149, 738, 703 is 1

Given Input Data is 76, 149, 738, 703

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 149 is 149

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 703 is 19 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(76, 149) = 11324

GCD(76, 149) = ( 76 x 149 ) / 11324

GCD(76, 149) = 11324 / 11324

GCD(76, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 703

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

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

GCD(1, 703) = 703 / 703

GCD(1, 703) = 1

GCD of 76, 149, 738, 703 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 234, 903, 410
• GCD of 49, 288, 514, 917
• GCD of 80, 128, 262, 954
• GCD of 78, 921, 168, 782
• GCD of 41, 833, 371, 605

1. What is the GCD of 76, 149, 738, 703?

GCD of 76, 149, 738, 703 is 1

2. Where do I get the detailed procedure to find GCD of 76, 149, 738, 703?

You can find a detailed procedure to find GCD of 76, 149, 738, 703 on our page.

3. How to find GCD of 76, 149, 738, 703 on a calculator?

You can find the GCD of 76, 149, 738, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.