GCD of 954, 720, 303, 378 Calculator

Given Input numbers are 954, 720, 303, 378

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

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 954, 720, 303, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 720, 303, 378 is 3.

Therefore, GCD of numbers 954, 720, 303, 378 is 3

Given Input Data is 954, 720, 303, 378

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

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 303 is 3 x 101

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(954, 720) = 38160

GCD(954, 720) = ( 954 x 720 ) / 38160

GCD(954, 720) = 686880 / 38160

GCD(954, 720) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 303

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

LCM(18, 303) = 1818

GCD(18, 303) = ( 18 x 303 ) / 1818

GCD(18, 303) = 5454 / 1818

GCD(18, 303) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 378

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

LCM(3, 378) = 378

GCD(3, 378) = ( 3 x 378 ) / 378

GCD(3, 378) = 1134 / 378

GCD(3, 378) = 3

GCD of 954, 720, 303, 378 is 3

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1. What is the GCD of 954, 720, 303, 378?

GCD of 954, 720, 303, 378 is 3

2. Where do I get the detailed procedure to find GCD of 954, 720, 303, 378?

You can find a detailed procedure to find GCD of 954, 720, 303, 378 on our page.

3. How to find GCD of 954, 720, 303, 378 on a calculator?

You can find the GCD of 954, 720, 303, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.