GCD of 290, 306, 948, 988 Calculator

Given Input numbers are 290, 306, 948, 988

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

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 290, 306, 948, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 306, 948, 988 is 2.

Therefore, GCD of numbers 290, 306, 948, 988 is 2

Given Input Data is 290, 306, 948, 988

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

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 988 is 2 x 2 x 13 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(290, 306) = 44370

GCD(290, 306) = ( 290 x 306 ) / 44370

GCD(290, 306) = 88740 / 44370

GCD(290, 306) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 948

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

LCM(2, 948) = 948

GCD(2, 948) = ( 2 x 948 ) / 948

GCD(2, 948) = 1896 / 948

GCD(2, 948) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 988

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

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

GCD(2, 988) = 1976 / 988

GCD(2, 988) = 2

GCD of 290, 306, 948, 988 is 2

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1. What is the GCD of 290, 306, 948, 988?

GCD of 290, 306, 948, 988 is 2

2. Where do I get the detailed procedure to find GCD of 290, 306, 948, 988?

You can find a detailed procedure to find GCD of 290, 306, 948, 988 on our page.

3. How to find GCD of 290, 306, 948, 988 on a calculator?

You can find the GCD of 290, 306, 948, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.