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 294, 350, 967, 458 i.e. 1 largest integer that divides all the numbers equally.
GCD of 294, 350, 967, 458 is 1
GCD(294, 350, 967, 458) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 294, 350, 967, 458 is 1
GCD(294, 350, 967, 458) = 1
Given Input numbers are 294, 350, 967, 458
To find the GCD of numbers using factoring list out all the divisors of each number
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 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Divisors of 458
List of positive integer divisors of 458 that divides 458 without a remainder.
1, 2, 229, 458
Greatest Common Divisior
We found the divisors of 294, 350, 967, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 350, 967, 458 is 1.
Therefore, GCD of numbers 294, 350, 967, 458 is 1
Given Input Data is 294, 350, 967, 458
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 967 is 967
Prime Factorization of 458 is 2 x 229
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(294, 350) = 7350
GCD(294, 350) = ( 294 x 350 ) / 7350
GCD(294, 350) = 102900 / 7350
GCD(294, 350) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 967
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 967) = 13538
GCD(14, 967) = ( 14 x 967 ) / 13538
GCD(14, 967) = 13538 / 13538
GCD(14, 967) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 458
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 458) = 458
GCD(1, 458) = ( 1 x 458 ) / 458
GCD(1, 458) = 458 / 458
GCD(1, 458) = 1
GCD of 294, 350, 967, 458 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 294, 350, 967, 458?
GCD of 294, 350, 967, 458 is 1
2. Where do I get the detailed procedure to find GCD of 294, 350, 967, 458?
You can find a detailed procedure to find GCD of 294, 350, 967, 458 on our page.
3. How to find GCD of 294, 350, 967, 458 on a calculator?
You can find the GCD of 294, 350, 967, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.