GCD of 430, 548, 290, 966 Calculator

Given Input numbers are 430, 548, 290, 966

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

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

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 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 430, 548, 290, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 430, 548, 290, 966 is 2.

Therefore, GCD of numbers 430, 548, 290, 966 is 2

Given Input Data is 430, 548, 290, 966

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

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 966 is 2 x 3 x 7 x 23

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(430, 548) = 117820

GCD(430, 548) = ( 430 x 548 ) / 117820

GCD(430, 548) = 235640 / 117820

GCD(430, 548) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 290

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

LCM(2, 290) = 290

GCD(2, 290) = ( 2 x 290 ) / 290

GCD(2, 290) = 580 / 290

GCD(2, 290) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 966

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

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

GCD(2, 966) = 1932 / 966

GCD(2, 966) = 2

GCD of 430, 548, 290, 966 is 2

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1. What is the GCD of 430, 548, 290, 966?

GCD of 430, 548, 290, 966 is 2

2. Where do I get the detailed procedure to find GCD of 430, 548, 290, 966?

You can find a detailed procedure to find GCD of 430, 548, 290, 966 on our page.

3. How to find GCD of 430, 548, 290, 966 on a calculator?

You can find the GCD of 430, 548, 290, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.