GCD of 660, 114, 136, 574 Calculator

Given Input numbers are 660, 114, 136, 574

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 574

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

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

Greatest Common Divisior

We found the divisors of 660, 114, 136, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 114, 136, 574 is 2.

Therefore, GCD of numbers 660, 114, 136, 574 is 2

Given Input Data is 660, 114, 136, 574

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 574 is 2 x 7 x 41

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(660, 114) = 12540

GCD(660, 114) = ( 660 x 114 ) / 12540

GCD(660, 114) = 75240 / 12540

GCD(660, 114) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 136

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

LCM(6, 136) = 408

GCD(6, 136) = ( 6 x 136 ) / 408

GCD(6, 136) = 816 / 408

GCD(6, 136) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 574

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

LCM(2, 574) = 574

GCD(2, 574) = ( 2 x 574 ) / 574

GCD(2, 574) = 1148 / 574

GCD(2, 574) = 2

GCD of 660, 114, 136, 574 is 2

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1. What is the GCD of 660, 114, 136, 574?

GCD of 660, 114, 136, 574 is 2

2. Where do I get the detailed procedure to find GCD of 660, 114, 136, 574?

You can find a detailed procedure to find GCD of 660, 114, 136, 574 on our page.

3. How to find GCD of 660, 114, 136, 574 on a calculator?

You can find the GCD of 660, 114, 136, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.