GCD of 90, 464, 316, 878 Calculator

Given Input numbers are 90, 464, 316, 878

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 878

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

1, 2, 439, 878

Greatest Common Divisior

We found the divisors of 90, 464, 316, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 464, 316, 878 is 2.

Therefore, GCD of numbers 90, 464, 316, 878 is 2

Given Input Data is 90, 464, 316, 878

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 878 is 2 x 439

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(90, 464) = 20880

GCD(90, 464) = ( 90 x 464 ) / 20880

GCD(90, 464) = 41760 / 20880

GCD(90, 464) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 316

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

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

GCD(2, 316) = 632 / 316

GCD(2, 316) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 878

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

LCM(2, 878) = 878

GCD(2, 878) = ( 2 x 878 ) / 878

GCD(2, 878) = 1756 / 878

GCD(2, 878) = 2

GCD of 90, 464, 316, 878 is 2

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• GCD of 61, 870, 510, 156
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• GCD of 27, 340, 526, 109

1. What is the GCD of 90, 464, 316, 878?

GCD of 90, 464, 316, 878 is 2

2. Where do I get the detailed procedure to find GCD of 90, 464, 316, 878?

You can find a detailed procedure to find GCD of 90, 464, 316, 878 on our page.

3. How to find GCD of 90, 464, 316, 878 on a calculator?

You can find the GCD of 90, 464, 316, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.