GCD of 860, 435, 370 Calculator

Given Input numbers are 860, 435, 370

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

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 860, 435, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 860, 435, 370 is 5.

Therefore, GCD of numbers 860, 435, 370 is 5

Given Input Data is 860, 435, 370

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

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 370 is 2 x 5 x 37

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(860, 435) = 74820

GCD(860, 435) = ( 860 x 435 ) / 74820

GCD(860, 435) = 374100 / 74820

GCD(860, 435) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 370

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

LCM(5, 370) = 370

GCD(5, 370) = ( 5 x 370 ) / 370

GCD(5, 370) = 1850 / 370

GCD(5, 370) = 5

GCD of 860, 435, 370 is 5

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1. What is the GCD of 860, 435, 370?

GCD of 860, 435, 370 is 5

2. Where do I get the detailed procedure to find GCD of 860, 435, 370?

You can find a detailed procedure to find GCD of 860, 435, 370 on our page.

3. How to find GCD of 860, 435, 370 on a calculator?

You can find the GCD of 860, 435, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.