GCD of 878, 492, 60, 630 Calculator

Given Input numbers are 878, 492, 60, 630

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

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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 878, 492, 60, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 878, 492, 60, 630 is 2.

Therefore, GCD of numbers 878, 492, 60, 630 is 2

Given Input Data is 878, 492, 60, 630

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

Prime Factorization of 878 is 2 x 439

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 630 is 2 x 3 x 3 x 5 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(878, 492) = 215988

GCD(878, 492) = ( 878 x 492 ) / 215988

GCD(878, 492) = 431976 / 215988

GCD(878, 492) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 630

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

LCM(2, 630) = 630

GCD(2, 630) = ( 2 x 630 ) / 630

GCD(2, 630) = 1260 / 630

GCD(2, 630) = 2

GCD of 878, 492, 60, 630 is 2

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1. What is the GCD of 878, 492, 60, 630?

GCD of 878, 492, 60, 630 is 2

2. Where do I get the detailed procedure to find GCD of 878, 492, 60, 630?

You can find a detailed procedure to find GCD of 878, 492, 60, 630 on our page.

3. How to find GCD of 878, 492, 60, 630 on a calculator?

You can find the GCD of 878, 492, 60, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.