GCD of 960, 417, 630 Calculator

Given Input numbers are 960, 417, 630

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Greatest Common Divisior

We found the divisors of 960, 417, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 417, 630 is 3.

Therefore, GCD of numbers 960, 417, 630 is 3

Given Input Data is 960, 417, 630

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 417 is 3 x 139

Prime Factorization of 630 is 2 x 3 x 3 x 5 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(960, 417) = 133440

GCD(960, 417) = ( 960 x 417 ) / 133440

GCD(960, 417) = 400320 / 133440

GCD(960, 417) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 630

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

LCM(3, 630) = 630

GCD(3, 630) = ( 3 x 630 ) / 630

GCD(3, 630) = 1890 / 630

GCD(3, 630) = 3

GCD of 960, 417, 630 is 3

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• GCD of 822, 399, 240
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1. What is the GCD of 960, 417, 630?

GCD of 960, 417, 630 is 3

2. Where do I get the detailed procedure to find GCD of 960, 417, 630?

You can find a detailed procedure to find GCD of 960, 417, 630 on our page.

3. How to find GCD of 960, 417, 630 on a calculator?

You can find the GCD of 960, 417, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.