GCD of 40, 738, 701, 250 Calculator

Given Input numbers are 40, 738, 701, 250

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 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 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Greatest Common Divisior

We found the divisors of 40, 738, 701, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 738, 701, 250 is 1.

Therefore, GCD of numbers 40, 738, 701, 250 is 1

Given Input Data is 40, 738, 701, 250

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 738 is 2 x 3 x 3 x 41

Prime Factorization of 701 is 701

Prime Factorization of 250 is 2 x 5 x 5 x 5

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, 738) = 14760

GCD(40, 738) = ( 40 x 738 ) / 14760

GCD(40, 738) = 29520 / 14760

GCD(40, 738) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 701

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

LCM(2, 701) = 1402

GCD(2, 701) = ( 2 x 701 ) / 1402

GCD(2, 701) = 1402 / 1402

GCD(2, 701) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 250

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

LCM(1, 250) = 250

GCD(1, 250) = ( 1 x 250 ) / 250

GCD(1, 250) = 250 / 250

GCD(1, 250) = 1

GCD of 40, 738, 701, 250 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 874, 120, 674
• GCD of 78, 646, 355, 435
• GCD of 65, 870, 646, 372
• GCD of 18, 164, 209, 516
• GCD of 53, 668, 242, 901

1. What is the GCD of 40, 738, 701, 250?

GCD of 40, 738, 701, 250 is 1

2. Where do I get the detailed procedure to find GCD of 40, 738, 701, 250?

You can find a detailed procedure to find GCD of 40, 738, 701, 250 on our page.

3. How to find GCD of 40, 738, 701, 250 on a calculator?

You can find the GCD of 40, 738, 701, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.