GCD of 755, 634, 45 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 755, 634, 45 i.e. 1 largest integer that divides all the numbers equally.
GCD of 755, 634, 45 is 1
GCD(755, 634, 45) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 755, 634, 45 is 1
GCD(755, 634, 45) = 1
GCDof 755,634,45 is 1
Given Input numbers are 755, 634, 45
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Greatest Common Divisior
We found the divisors of 755, 634, 45 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 634, 45 is 1.
Therefore, GCD of numbers 755, 634, 45 is 1
Given Input Data is 755, 634, 45
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 755 is 5 x 151
Prime Factorization of 634 is 2 x 317
Prime Factorization of 45 is 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 755, 634, 45 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(755, 634) = 478670
GCD(755, 634) = ( 755 x 634 ) / 478670
GCD(755, 634) = 478670 / 478670
GCD(755, 634) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
GCD of 755, 634, 45 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 755, 634, 45
1. What is the GCD of 755, 634, 45?
GCD of 755, 634, 45 is 1
2. Where do I get the detailed procedure to find GCD of 755, 634, 45?
You can find a detailed procedure to find GCD of 755, 634, 45 on our page.
3. How to find GCD of 755, 634, 45 on a calculator?
You can find the GCD of 755, 634, 45 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.