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 29, 695, 545, 294 i.e. 1 largest integer that divides all the numbers equally.
GCD of 29, 695, 545, 294 is 1
GCD(29, 695, 545, 294) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 29, 695, 545, 294 is 1
GCD(29, 695, 545, 294) = 1
Given Input numbers are 29, 695, 545, 294
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Greatest Common Divisior
We found the divisors of 29, 695, 545, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 695, 545, 294 is 1.
Therefore, GCD of numbers 29, 695, 545, 294 is 1
Given Input Data is 29, 695, 545, 294
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 29 is 29
Prime Factorization of 695 is 5 x 139
Prime Factorization of 545 is 5 x 109
Prime Factorization of 294 is 2 x 3 x 7 x 7
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(29, 695) = 20155
GCD(29, 695) = ( 29 x 695 ) / 20155
GCD(29, 695) = 20155 / 20155
GCD(29, 695) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 545
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 545) = 545
GCD(1, 545) = ( 1 x 545 ) / 545
GCD(1, 545) = 545 / 545
GCD(1, 545) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 294
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 294) = 294
GCD(1, 294) = ( 1 x 294 ) / 294
GCD(1, 294) = 294 / 294
GCD(1, 294) = 1
GCD of 29, 695, 545, 294 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 29, 695, 545, 294?
GCD of 29, 695, 545, 294 is 1
2. Where do I get the detailed procedure to find GCD of 29, 695, 545, 294?
You can find a detailed procedure to find GCD of 29, 695, 545, 294 on our page.
3. How to find GCD of 29, 695, 545, 294 on a calculator?
You can find the GCD of 29, 695, 545, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.