GCD of 738, 770, 132, 302 Calculator

Given Input numbers are 738, 770, 132, 302

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 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 738, 770, 132, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 770, 132, 302 is 2.

Therefore, GCD of numbers 738, 770, 132, 302 is 2

Given Input Data is 738, 770, 132, 302

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 770 is 2 x 5 x 7 x 11

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 302 is 2 x 151

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(738, 770) = 284130

GCD(738, 770) = ( 738 x 770 ) / 284130

GCD(738, 770) = 568260 / 284130

GCD(738, 770) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 132

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

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

GCD(2, 132) = 264 / 132

GCD(2, 132) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 302

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

LCM(2, 302) = 302

GCD(2, 302) = ( 2 x 302 ) / 302

GCD(2, 302) = 604 / 302

GCD(2, 302) = 2

GCD of 738, 770, 132, 302 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 465, 338, 282, 512
• GCD of 872, 808, 852, 898
• GCD of 966, 464, 164, 852
• GCD of 242, 875, 369, 836
• GCD of 491, 545, 276, 605

1. What is the GCD of 738, 770, 132, 302?

GCD of 738, 770, 132, 302 is 2

2. Where do I get the detailed procedure to find GCD of 738, 770, 132, 302?

You can find a detailed procedure to find GCD of 738, 770, 132, 302 on our page.

3. How to find GCD of 738, 770, 132, 302 on a calculator?

You can find the GCD of 738, 770, 132, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.