GCD of 350, 725, 340 Calculator

Given Input numbers are 350, 725, 340

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 350, 725, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 725, 340 is 5.

Therefore, GCD of numbers 350, 725, 340 is 5

Given Input Data is 350, 725, 340

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 340 is 2 x 2 x 5 x 17

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(350, 725) = 10150

GCD(350, 725) = ( 350 x 725 ) / 10150

GCD(350, 725) = 253750 / 10150

GCD(350, 725) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 340

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

LCM(25, 340) = 1700

GCD(25, 340) = ( 25 x 340 ) / 1700

GCD(25, 340) = 8500 / 1700

GCD(25, 340) = 5

GCD of 350, 725, 340 is 5

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1. What is the GCD of 350, 725, 340?

GCD of 350, 725, 340 is 5

2. Where do I get the detailed procedure to find GCD of 350, 725, 340?

You can find a detailed procedure to find GCD of 350, 725, 340 on our page.

3. How to find GCD of 350, 725, 340 on a calculator?

You can find the GCD of 350, 725, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.