GCD of 40, 748, 194, 957 Calculator

Given Input numbers are 40, 748, 194, 957

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 957

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

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

Greatest Common Divisior

We found the divisors of 40, 748, 194, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 748, 194, 957 is 1.

Therefore, GCD of numbers 40, 748, 194, 957 is 1

Given Input Data is 40, 748, 194, 957

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 194 is 2 x 97

Prime Factorization of 957 is 3 x 11 x 29

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(40, 748) = 7480

GCD(40, 748) = ( 40 x 748 ) / 7480

GCD(40, 748) = 29920 / 7480

GCD(40, 748) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 194

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

LCM(4, 194) = 388

GCD(4, 194) = ( 4 x 194 ) / 388

GCD(4, 194) = 776 / 388

GCD(4, 194) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 957

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

LCM(2, 957) = 1914

GCD(2, 957) = ( 2 x 957 ) / 1914

GCD(2, 957) = 1914 / 1914

GCD(2, 957) = 1

GCD of 40, 748, 194, 957 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 208, 680, 339
• GCD of 46, 747, 186, 922
• GCD of 44, 190, 628, 662
• GCD of 12, 628, 535, 384
• GCD of 67, 956, 194, 978

1. What is the GCD of 40, 748, 194, 957?

GCD of 40, 748, 194, 957 is 1

2. Where do I get the detailed procedure to find GCD of 40, 748, 194, 957?

You can find a detailed procedure to find GCD of 40, 748, 194, 957 on our page.

3. How to find GCD of 40, 748, 194, 957 on a calculator?

You can find the GCD of 40, 748, 194, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.