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 10, 173, 692, 763 i.e. 1 largest integer that divides all the numbers equally.
GCD of 10, 173, 692, 763 is 1
GCD(10, 173, 692, 763) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 10, 173, 692, 763 is 1
GCD(10, 173, 692, 763) = 1
Given Input numbers are 10, 173, 692, 763
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Greatest Common Divisior
We found the divisors of 10, 173, 692, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 173, 692, 763 is 1.
Therefore, GCD of numbers 10, 173, 692, 763 is 1
Given Input Data is 10, 173, 692, 763
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 10 is 2 x 5
Prime Factorization of 173 is 173
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 763 is 7 x 109
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(10, 173) = 1730
GCD(10, 173) = ( 10 x 173 ) / 1730
GCD(10, 173) = 1730 / 1730
GCD(10, 173) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 692
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 692) = 692
GCD(1, 692) = ( 1 x 692 ) / 692
GCD(1, 692) = 692 / 692
GCD(1, 692) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 763
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 763) = 763
GCD(1, 763) = ( 1 x 763 ) / 763
GCD(1, 763) = 763 / 763
GCD(1, 763) = 1
GCD of 10, 173, 692, 763 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 10, 173, 692, 763?
GCD of 10, 173, 692, 763 is 1
2. Where do I get the detailed procedure to find GCD of 10, 173, 692, 763?
You can find a detailed procedure to find GCD of 10, 173, 692, 763 on our page.
3. How to find GCD of 10, 173, 692, 763 on a calculator?
You can find the GCD of 10, 173, 692, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.