GCD of 946, 930, 436, 504 Calculator

Given Input numbers are 946, 930, 436, 504

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

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 946, 930, 436, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 930, 436, 504 is 2.

Therefore, GCD of numbers 946, 930, 436, 504 is 2

Given Input Data is 946, 930, 436, 504

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

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

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(946, 930) = 439890

GCD(946, 930) = ( 946 x 930 ) / 439890

GCD(946, 930) = 879780 / 439890

GCD(946, 930) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 436

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

LCM(2, 436) = 436

GCD(2, 436) = ( 2 x 436 ) / 436

GCD(2, 436) = 872 / 436

GCD(2, 436) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 504

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

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

GCD(2, 504) = 1008 / 504

GCD(2, 504) = 2

GCD of 946, 930, 436, 504 is 2

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1. What is the GCD of 946, 930, 436, 504?

GCD of 946, 930, 436, 504 is 2

2. Where do I get the detailed procedure to find GCD of 946, 930, 436, 504?

You can find a detailed procedure to find GCD of 946, 930, 436, 504 on our page.

3. How to find GCD of 946, 930, 436, 504 on a calculator?

You can find the GCD of 946, 930, 436, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.