GCD of 930, 410, 940, 632 Calculator

Given Input numbers are 930, 410, 940, 632

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

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 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Greatest Common Divisior

We found the divisors of 930, 410, 940, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 410, 940, 632 is 2.

Therefore, GCD of numbers 930, 410, 940, 632 is 2

Given Input Data is 930, 410, 940, 632

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

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

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 632 is 2 x 2 x 2 x 79

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(930, 410) = 38130

GCD(930, 410) = ( 930 x 410 ) / 38130

GCD(930, 410) = 381300 / 38130

GCD(930, 410) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 940

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

LCM(10, 940) = 940

GCD(10, 940) = ( 10 x 940 ) / 940

GCD(10, 940) = 9400 / 940

GCD(10, 940) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 632

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

LCM(10, 632) = 3160

GCD(10, 632) = ( 10 x 632 ) / 3160

GCD(10, 632) = 6320 / 3160

GCD(10, 632) = 2

GCD of 930, 410, 940, 632 is 2

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1. What is the GCD of 930, 410, 940, 632?

GCD of 930, 410, 940, 632 is 2

2. Where do I get the detailed procedure to find GCD of 930, 410, 940, 632?

You can find a detailed procedure to find GCD of 930, 410, 940, 632 on our page.

3. How to find GCD of 930, 410, 940, 632 on a calculator?

You can find the GCD of 930, 410, 940, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.