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 735, 545, 94 i.e. 1 largest integer that divides all the numbers equally.
GCD of 735, 545, 94 is 1
GCD(735, 545, 94) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 735, 545, 94 is 1
GCD(735, 545, 94) = 1
Given Input numbers are 735, 545, 94
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Divisors of 94
List of positive integer divisors of 94 that divides 94 without a remainder.
1, 2, 47, 94
Greatest Common Divisior
We found the divisors of 735, 545, 94 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 545, 94 is 1.
Therefore, GCD of numbers 735, 545, 94 is 1
Given Input Data is 735, 545, 94
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 545 is 5 x 109
Prime Factorization of 94 is 2 x 47
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(735, 545) = 80115
GCD(735, 545) = ( 735 x 545 ) / 80115
GCD(735, 545) = 400575 / 80115
GCD(735, 545) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 94
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 94) = 470
GCD(5, 94) = ( 5 x 94 ) / 470
GCD(5, 94) = 470 / 470
GCD(5, 94) = 1
GCD of 735, 545, 94 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 735, 545, 94?
GCD of 735, 545, 94 is 1
2. Where do I get the detailed procedure to find GCD of 735, 545, 94?
You can find a detailed procedure to find GCD of 735, 545, 94 on our page.
3. How to find GCD of 735, 545, 94 on a calculator?
You can find the GCD of 735, 545, 94 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.