GCD of 740, 100, 75, 880 Calculator

Given Input numbers are 740, 100, 75, 880

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 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Greatest Common Divisior

We found the divisors of 740, 100, 75, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 100, 75, 880 is 5.

Therefore, GCD of numbers 740, 100, 75, 880 is 5

Given Input Data is 740, 100, 75, 880

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 100 is 2 x 2 x 5 x 5

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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, 100) = 3700

GCD(740, 100) = ( 740 x 100 ) / 3700

GCD(740, 100) = 74000 / 3700

GCD(740, 100) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 75

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

LCM(20, 75) = 300

GCD(20, 75) = ( 20 x 75 ) / 300

GCD(20, 75) = 1500 / 300

GCD(20, 75) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 880

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

LCM(5, 880) = 880

GCD(5, 880) = ( 5 x 880 ) / 880

GCD(5, 880) = 4400 / 880

GCD(5, 880) = 5

GCD of 740, 100, 75, 880 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 644, 206, 81, 646
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• GCD of 828, 357, 72, 399

1. What is the GCD of 740, 100, 75, 880?

GCD of 740, 100, 75, 880 is 5

2. Where do I get the detailed procedure to find GCD of 740, 100, 75, 880?

You can find a detailed procedure to find GCD of 740, 100, 75, 880 on our page.

3. How to find GCD of 740, 100, 75, 880 on a calculator?

You can find the GCD of 740, 100, 75, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.