GCD of 470, 220, 94, 590 Calculator

Given Input numbers are 470, 220, 94, 590

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Greatest Common Divisior

We found the divisors of 470, 220, 94, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 220, 94, 590 is 2.

Therefore, GCD of numbers 470, 220, 94, 590 is 2

Given Input Data is 470, 220, 94, 590

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 94 is 2 x 47

Prime Factorization of 590 is 2 x 5 x 59

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(470, 220) = 10340

GCD(470, 220) = ( 470 x 220 ) / 10340

GCD(470, 220) = 103400 / 10340

GCD(470, 220) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 94

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

LCM(10, 94) = 470

GCD(10, 94) = ( 10 x 94 ) / 470

GCD(10, 94) = 940 / 470

GCD(10, 94) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 590

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

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

GCD(2, 590) = 1180 / 590

GCD(2, 590) = 2

GCD of 470, 220, 94, 590 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 220, 117, 57, 479
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• GCD of 817, 359, 23, 698
• GCD of 472, 798, 99, 704
• GCD of 193, 625, 53, 105

1. What is the GCD of 470, 220, 94, 590?

GCD of 470, 220, 94, 590 is 2

2. Where do I get the detailed procedure to find GCD of 470, 220, 94, 590?

You can find a detailed procedure to find GCD of 470, 220, 94, 590 on our page.

3. How to find GCD of 470, 220, 94, 590 on a calculator?

You can find the GCD of 470, 220, 94, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.