GCD of 870, 598, 620, 920 Calculator

Given Input numbers are 870, 598, 620, 920

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

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

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 870, 598, 620, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 598, 620, 920 is 2.

Therefore, GCD of numbers 870, 598, 620, 920 is 2

Given Input Data is 870, 598, 620, 920

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

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 620 is 2 x 2 x 5 x 31

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

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(870, 598) = 260130

GCD(870, 598) = ( 870 x 598 ) / 260130

GCD(870, 598) = 520260 / 260130

GCD(870, 598) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 620

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

LCM(2, 620) = 620

GCD(2, 620) = ( 2 x 620 ) / 620

GCD(2, 620) = 1240 / 620

GCD(2, 620) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 920

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

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

GCD(2, 920) = 1840 / 920

GCD(2, 920) = 2

GCD of 870, 598, 620, 920 is 2

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1. What is the GCD of 870, 598, 620, 920?

GCD of 870, 598, 620, 920 is 2

2. Where do I get the detailed procedure to find GCD of 870, 598, 620, 920?

You can find a detailed procedure to find GCD of 870, 598, 620, 920 on our page.

3. How to find GCD of 870, 598, 620, 920 on a calculator?

You can find the GCD of 870, 598, 620, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.