GCD of 740, 574, 102, 872 Calculator

Given Input numbers are 740, 574, 102, 872

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 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 740, 574, 102, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 574, 102, 872 is 2.

Therefore, GCD of numbers 740, 574, 102, 872 is 2

Given Input Data is 740, 574, 102, 872

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 574 is 2 x 7 x 41

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 872 is 2 x 2 x 2 x 109

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 574) = 212380

GCD(740, 574) = ( 740 x 574 ) / 212380

GCD(740, 574) = 424760 / 212380

GCD(740, 574) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 102

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

LCM(2, 102) = 102

GCD(2, 102) = ( 2 x 102 ) / 102

GCD(2, 102) = 204 / 102

GCD(2, 102) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 872

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

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

GCD(2, 872) = 1744 / 872

GCD(2, 872) = 2

GCD of 740, 574, 102, 872 is 2

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1. What is the GCD of 740, 574, 102, 872?

GCD of 740, 574, 102, 872 is 2

2. Where do I get the detailed procedure to find GCD of 740, 574, 102, 872?

You can find a detailed procedure to find GCD of 740, 574, 102, 872 on our page.

3. How to find GCD of 740, 574, 102, 872 on a calculator?

You can find the GCD of 740, 574, 102, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.