GCD of 902, 666, 74, 940 Calculator

Given Input numbers are 902, 666, 74, 940

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

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Greatest Common Divisior

We found the divisors of 902, 666, 74, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 666, 74, 940 is 2.

Therefore, GCD of numbers 902, 666, 74, 940 is 2

Given Input Data is 902, 666, 74, 940

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

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 74 is 2 x 37

Prime Factorization of 940 is 2 x 2 x 5 x 47

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(902, 666) = 300366

GCD(902, 666) = ( 902 x 666 ) / 300366

GCD(902, 666) = 600732 / 300366

GCD(902, 666) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 940

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

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

GCD(2, 940) = 1880 / 940

GCD(2, 940) = 2

GCD of 902, 666, 74, 940 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 128, 419, 98, 416
• GCD of 347, 899, 24, 212
• GCD of 881, 409, 51, 502
• GCD of 182, 229, 52, 237
• GCD of 355, 405, 77, 781

1. What is the GCD of 902, 666, 74, 940?

GCD of 902, 666, 74, 940 is 2

2. Where do I get the detailed procedure to find GCD of 902, 666, 74, 940?

You can find a detailed procedure to find GCD of 902, 666, 74, 940 on our page.

3. How to find GCD of 902, 666, 74, 940 on a calculator?

You can find the GCD of 902, 666, 74, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.