GCD of 938, 480, 30, 743 Calculator

Given Input numbers are 938, 480, 30, 743

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

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 938, 480, 30, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 480, 30, 743 is 1.

Therefore, GCD of numbers 938, 480, 30, 743 is 1

Given Input Data is 938, 480, 30, 743

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

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 743 is 743

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(938, 480) = 225120

GCD(938, 480) = ( 938 x 480 ) / 225120

GCD(938, 480) = 450240 / 225120

GCD(938, 480) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 743

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

LCM(2, 743) = 1486

GCD(2, 743) = ( 2 x 743 ) / 1486

GCD(2, 743) = 1486 / 1486

GCD(2, 743) = 1

GCD of 938, 480, 30, 743 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 261, 245, 93, 868
• GCD of 675, 129, 72, 893
• GCD of 365, 475, 96, 889
• GCD of 607, 521, 18, 984
• GCD of 765, 897, 33, 388

1. What is the GCD of 938, 480, 30, 743?

GCD of 938, 480, 30, 743 is 1

2. Where do I get the detailed procedure to find GCD of 938, 480, 30, 743?

You can find a detailed procedure to find GCD of 938, 480, 30, 743 on our page.

3. How to find GCD of 938, 480, 30, 743 on a calculator?

You can find the GCD of 938, 480, 30, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.