GCD of 190, 770, 470, 920 Calculator

Given Input numbers are 190, 770, 470, 920

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

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

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 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 190, 770, 470, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 190, 770, 470, 920 is 10.

Therefore, GCD of numbers 190, 770, 470, 920 is 10

Given Input Data is 190, 770, 470, 920

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

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Highest common occurrences in the given inputs are 2¹ x 5¹

Multiplying them we get the GCD as 10

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(190, 770) = 14630

GCD(190, 770) = ( 190 x 770 ) / 14630

GCD(190, 770) = 146300 / 14630

GCD(190, 770) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 470

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

LCM(10, 470) = 470

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

GCD(10, 470) = 4700 / 470

GCD(10, 470) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 920

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

LCM(10, 920) = 920

GCD(10, 920) = ( 10 x 920 ) / 920

GCD(10, 920) = 9200 / 920

GCD(10, 920) = 10

GCD of 190, 770, 470, 920 is 10

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1. What is the GCD of 190, 770, 470, 920?

GCD of 190, 770, 470, 920 is 10

2. Where do I get the detailed procedure to find GCD of 190, 770, 470, 920?

You can find a detailed procedure to find GCD of 190, 770, 470, 920 on our page.

3. How to find GCD of 190, 770, 470, 920 on a calculator?

You can find the GCD of 190, 770, 470, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.