GCD of 738, 150, 757, 802 Calculator

Given Input numbers are 738, 150, 757, 802

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

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 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 738, 150, 757, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 150, 757, 802 is 1.

Therefore, GCD of numbers 738, 150, 757, 802 is 1

Given Input Data is 738, 150, 757, 802

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

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 757 is 757

Prime Factorization of 802 is 2 x 401

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(738, 150) = 18450

GCD(738, 150) = ( 738 x 150 ) / 18450

GCD(738, 150) = 110700 / 18450

GCD(738, 150) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 757

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

LCM(6, 757) = 4542

GCD(6, 757) = ( 6 x 757 ) / 4542

GCD(6, 757) = 4542 / 4542

GCD(6, 757) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

GCD of 738, 150, 757, 802 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 713, 388, 140
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1. What is the GCD of 738, 150, 757, 802?

GCD of 738, 150, 757, 802 is 1

2. Where do I get the detailed procedure to find GCD of 738, 150, 757, 802?

You can find a detailed procedure to find GCD of 738, 150, 757, 802 on our page.

3. How to find GCD of 738, 150, 757, 802 on a calculator?

You can find the GCD of 738, 150, 757, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.