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 425, 294, 214, 261 i.e. 1 largest integer that divides all the numbers equally.
GCD of 425, 294, 214, 261 is 1
GCD(425, 294, 214, 261) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 425, 294, 214, 261 is 1
GCD(425, 294, 214, 261) = 1
Given Input numbers are 425, 294, 214, 261
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
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
Divisors of 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Greatest Common Divisior
We found the divisors of 425, 294, 214, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 425, 294, 214, 261 is 1.
Therefore, GCD of numbers 425, 294, 214, 261 is 1
Given Input Data is 425, 294, 214, 261
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 214 is 2 x 107
Prime Factorization of 261 is 3 x 3 x 29
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(425, 294) = 124950
GCD(425, 294) = ( 425 x 294 ) / 124950
GCD(425, 294) = 124950 / 124950
GCD(425, 294) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 214
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 214) = 214
GCD(1, 214) = ( 1 x 214 ) / 214
GCD(1, 214) = 214 / 214
GCD(1, 214) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 261
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 261) = 261
GCD(1, 261) = ( 1 x 261 ) / 261
GCD(1, 261) = 261 / 261
GCD(1, 261) = 1
GCD of 425, 294, 214, 261 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 425, 294, 214, 261?
GCD of 425, 294, 214, 261 is 1
2. Where do I get the detailed procedure to find GCD of 425, 294, 214, 261?
You can find a detailed procedure to find GCD of 425, 294, 214, 261 on our page.
3. How to find GCD of 425, 294, 214, 261 on a calculator?
You can find the GCD of 425, 294, 214, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.