GCD of 738, 957, 35, 188 Calculator

Given Input numbers are 738, 957, 35, 188

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 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 738, 957, 35, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 957, 35, 188 is 1.

Therefore, GCD of numbers 738, 957, 35, 188 is 1

Given Input Data is 738, 957, 35, 188

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 957 is 3 x 11 x 29

Prime Factorization of 35 is 5 x 7

Prime Factorization of 188 is 2 x 2 x 47

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, 957) = 235422

GCD(738, 957) = ( 738 x 957 ) / 235422

GCD(738, 957) = 706266 / 235422

GCD(738, 957) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 35

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

LCM(3, 35) = 105

GCD(3, 35) = ( 3 x 35 ) / 105

GCD(3, 35) = 105 / 105

GCD(3, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

GCD of 738, 957, 35, 188 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 907, 189, 85, 344
• GCD of 764, 451, 35, 498
• GCD of 960, 120, 24, 779
• GCD of 114, 989, 47, 645
• GCD of 664, 952, 45, 189

1. What is the GCD of 738, 957, 35, 188?

GCD of 738, 957, 35, 188 is 1

2. Where do I get the detailed procedure to find GCD of 738, 957, 35, 188?

You can find a detailed procedure to find GCD of 738, 957, 35, 188 on our page.

3. How to find GCD of 738, 957, 35, 188 on a calculator?

You can find the GCD of 738, 957, 35, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.