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 231, 294, 62, 354 i.e. 1 largest integer that divides all the numbers equally.
GCD of 231, 294, 62, 354 is 1
GCD(231, 294, 62, 354) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 231, 294, 62, 354 is 1
GCD(231, 294, 62, 354) = 1
Given Input numbers are 231, 294, 62, 354
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
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 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Greatest Common Divisior
We found the divisors of 231, 294, 62, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 294, 62, 354 is 1.
Therefore, GCD of numbers 231, 294, 62, 354 is 1
Given Input Data is 231, 294, 62, 354
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 62 is 2 x 31
Prime Factorization of 354 is 2 x 3 x 59
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(231, 294) = 3234
GCD(231, 294) = ( 231 x 294 ) / 3234
GCD(231, 294) = 67914 / 3234
GCD(231, 294) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 62
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 62) = 1302
GCD(21, 62) = ( 21 x 62 ) / 1302
GCD(21, 62) = 1302 / 1302
GCD(21, 62) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 354
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 354) = 354
GCD(1, 354) = ( 1 x 354 ) / 354
GCD(1, 354) = 354 / 354
GCD(1, 354) = 1
GCD of 231, 294, 62, 354 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 231, 294, 62, 354?
GCD of 231, 294, 62, 354 is 1
2. Where do I get the detailed procedure to find GCD of 231, 294, 62, 354?
You can find a detailed procedure to find GCD of 231, 294, 62, 354 on our page.
3. How to find GCD of 231, 294, 62, 354 on a calculator?
You can find the GCD of 231, 294, 62, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.