GCD of 740, 996, 80, 266 Calculator

Given Input numbers are 740, 996, 80, 266

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 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Greatest Common Divisior

We found the divisors of 740, 996, 80, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 996, 80, 266 is 2.

Therefore, GCD of numbers 740, 996, 80, 266 is 2

Given Input Data is 740, 996, 80, 266

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 996 is 2 x 2 x 3 x 83

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 266 is 2 x 7 x 19

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, 996) = 184260

GCD(740, 996) = ( 740 x 996 ) / 184260

GCD(740, 996) = 737040 / 184260

GCD(740, 996) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 80

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

LCM(4, 80) = 80

GCD(4, 80) = ( 4 x 80 ) / 80

GCD(4, 80) = 320 / 80

GCD(4, 80) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 266

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

LCM(4, 266) = 532

GCD(4, 266) = ( 4 x 266 ) / 532

GCD(4, 266) = 1064 / 532

GCD(4, 266) = 2

GCD of 740, 996, 80, 266 is 2

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1. What is the GCD of 740, 996, 80, 266?

GCD of 740, 996, 80, 266 is 2

2. Where do I get the detailed procedure to find GCD of 740, 996, 80, 266?

You can find a detailed procedure to find GCD of 740, 996, 80, 266 on our page.

3. How to find GCD of 740, 996, 80, 266 on a calculator?

You can find the GCD of 740, 996, 80, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.