GCD of 766, 134, 24, 738 Calculator

Given Input numbers are 766, 134, 24, 738

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

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

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

Greatest Common Divisior

We found the divisors of 766, 134, 24, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 134, 24, 738 is 2.

Therefore, GCD of numbers 766, 134, 24, 738 is 2

Given Input Data is 766, 134, 24, 738

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 134 is 2 x 67

Prime Factorization of 24 is 2 x 2 x 2 x 3

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(766, 134) = 51322

GCD(766, 134) = ( 766 x 134 ) / 51322

GCD(766, 134) = 102644 / 51322

GCD(766, 134) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 738

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

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

GCD(2, 738) = 1476 / 738

GCD(2, 738) = 2

GCD of 766, 134, 24, 738 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 980, 40, 381
• GCD of 150, 261, 18, 536
• GCD of 280, 283, 87, 438
• GCD of 135, 491, 84, 546
• GCD of 508, 201, 36, 873

1. What is the GCD of 766, 134, 24, 738?

GCD of 766, 134, 24, 738 is 2

2. Where do I get the detailed procedure to find GCD of 766, 134, 24, 738?

You can find a detailed procedure to find GCD of 766, 134, 24, 738 on our page.

3. How to find GCD of 766, 134, 24, 738 on a calculator?

You can find the GCD of 766, 134, 24, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.