GCD of 470, 849, 574, 840 Calculator

Given Input numbers are 470, 849, 574, 840

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 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 470, 849, 574, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 849, 574, 840 is 1.

Therefore, GCD of numbers 470, 849, 574, 840 is 1

Given Input Data is 470, 849, 574, 840

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 849 is 3 x 283

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

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, 849) = 399030

GCD(470, 849) = ( 470 x 849 ) / 399030

GCD(470, 849) = 399030 / 399030

GCD(470, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

GCD of 470, 849, 574, 840 is 1

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1. What is the GCD of 470, 849, 574, 840?

GCD of 470, 849, 574, 840 is 1

2. Where do I get the detailed procedure to find GCD of 470, 849, 574, 840?

You can find a detailed procedure to find GCD of 470, 849, 574, 840 on our page.

3. How to find GCD of 470, 849, 574, 840 on a calculator?

You can find the GCD of 470, 849, 574, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.