GCD of 740, 990, 30, 320 Calculator

Given Input numbers are 740, 990, 30, 320

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

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 740, 990, 30, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 990, 30, 320 is 10.

Therefore, GCD of numbers 740, 990, 30, 320 is 10

Given Input Data is 740, 990, 30, 320

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

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Highest common occurrences in the given inputs are 2¹ x 5¹

Multiplying them we get the GCD as 10

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(740, 990) = 73260

GCD(740, 990) = ( 740 x 990 ) / 73260

GCD(740, 990) = 732600 / 73260

GCD(740, 990) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 30

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

LCM(10, 30) = 30

GCD(10, 30) = ( 10 x 30 ) / 30

GCD(10, 30) = 300 / 30

GCD(10, 30) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 320

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

LCM(10, 320) = 320

GCD(10, 320) = ( 10 x 320 ) / 320

GCD(10, 320) = 3200 / 320

GCD(10, 320) = 10

GCD of 740, 990, 30, 320 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 835, 654, 16, 964
• GCD of 421, 262, 18, 103
• GCD of 786, 621, 13, 273
• GCD of 453, 979, 92, 574
• GCD of 991, 666, 53, 335

1. What is the GCD of 740, 990, 30, 320?

GCD of 740, 990, 30, 320 is 10

2. Where do I get the detailed procedure to find GCD of 740, 990, 30, 320?

You can find a detailed procedure to find GCD of 740, 990, 30, 320 on our page.

3. How to find GCD of 740, 990, 30, 320 on a calculator?

You can find the GCD of 740, 990, 30, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.