GCD of 103, 357, 10 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 103, 357, 10 i.e. 1 largest integer that divides all the numbers equally.

GCD of 103, 357, 10 is 1

GCD(103, 357, 10) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 103, 357, 10 is 1

GCD(103, 357, 10) = 1

GCD of 103,357,10 Calculator

GCDof 103,357,10 is 1

Given Input numbers are 103, 357, 10

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

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

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 103, 357, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 357, 10 is 1.

Therefore, GCD of numbers 103, 357, 10 is 1

Finding GCD of 103, 357, 10 using Prime Factorization

Given Input Data is 103, 357, 10

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

Prime Factorization of 103 is 103

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 10 is 2 x 5

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 103, 357, 10 using LCM Formula

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(103, 357) = 36771

GCD(103, 357) = ( 103 x 357 ) / 36771

GCD(103, 357) = 36771 / 36771

GCD(103, 357) = 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 103, 357, 10 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 103, 357, 10

1. What is the GCD of 103, 357, 10?

GCD of 103, 357, 10 is 1

2. Where do I get the detailed procedure to find GCD of 103, 357, 10?

You can find a detailed procedure to find GCD of 103, 357, 10 on our page.

3. How to find GCD of 103, 357, 10 on a calculator?

You can find the GCD of 103, 357, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.