GCD of 564, 340, 990, 154 Calculator

Given Input numbers are 564, 340, 990, 154

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 564, 340, 990, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 340, 990, 154 is 2.

Therefore, GCD of numbers 564, 340, 990, 154 is 2

Given Input Data is 564, 340, 990, 154

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 154 is 2 x 7 x 11

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(564, 340) = 47940

GCD(564, 340) = ( 564 x 340 ) / 47940

GCD(564, 340) = 191760 / 47940

GCD(564, 340) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 990

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

LCM(4, 990) = 1980

GCD(4, 990) = ( 4 x 990 ) / 1980

GCD(4, 990) = 3960 / 1980

GCD(4, 990) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 154

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

LCM(2, 154) = 154

GCD(2, 154) = ( 2 x 154 ) / 154

GCD(2, 154) = 308 / 154

GCD(2, 154) = 2

GCD of 564, 340, 990, 154 is 2

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1. What is the GCD of 564, 340, 990, 154?

GCD of 564, 340, 990, 154 is 2

2. Where do I get the detailed procedure to find GCD of 564, 340, 990, 154?

You can find a detailed procedure to find GCD of 564, 340, 990, 154 on our page.

3. How to find GCD of 564, 340, 990, 154 on a calculator?

You can find the GCD of 564, 340, 990, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.