GCD of 840, 725, 34, 340 Calculator

Given Input numbers are 840, 725, 34, 340

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

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

Divisors of 725

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

1, 5, 25, 29, 145, 725

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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 840, 725, 34, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 725, 34, 340 is 1.

Therefore, GCD of numbers 840, 725, 34, 340 is 1

Given Input Data is 840, 725, 34, 340

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

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

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 34 is 2 x 17

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

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(840, 725) = 121800

GCD(840, 725) = ( 840 x 725 ) / 121800

GCD(840, 725) = 609000 / 121800

GCD(840, 725) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 34

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

LCM(5, 34) = 170

GCD(5, 34) = ( 5 x 34 ) / 170

GCD(5, 34) = 170 / 170

GCD(5, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

GCD of 840, 725, 34, 340 is 1

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1. What is the GCD of 840, 725, 34, 340?

GCD of 840, 725, 34, 340 is 1

2. Where do I get the detailed procedure to find GCD of 840, 725, 34, 340?

You can find a detailed procedure to find GCD of 840, 725, 34, 340 on our page.

3. How to find GCD of 840, 725, 34, 340 on a calculator?

You can find the GCD of 840, 725, 34, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.