GCD of 359, 340, 10 Calculator

Given Input numbers are 359, 340, 10

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

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 359, 340, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 340, 10 is 1.

Therefore, GCD of numbers 359, 340, 10 is 1

Given Input Data is 359, 340, 10

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

Prime Factorization of 359 is 359

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

Prime Factorization of 10 is 2 x 5

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(359, 340) = 122060

GCD(359, 340) = ( 359 x 340 ) / 122060

GCD(359, 340) = 122060 / 122060

GCD(359, 340) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

GCD of 359, 340, 10 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 706, 22
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• GCD of 166, 521, 69

1. What is the GCD of 359, 340, 10?

GCD of 359, 340, 10 is 1

2. Where do I get the detailed procedure to find GCD of 359, 340, 10?

You can find a detailed procedure to find GCD of 359, 340, 10 on our page.

3. How to find GCD of 359, 340, 10 on a calculator?

You can find the GCD of 359, 340, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.