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 434, 330, 61, 952 i.e. 1 largest integer that divides all the numbers equally.
GCD of 434, 330, 61, 952 is 1
GCD(434, 330, 61, 952) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 434, 330, 61, 952 is 1
GCD(434, 330, 61, 952) = 1
Given Input numbers are 434, 330, 61, 952
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Greatest Common Divisior
We found the divisors of 434, 330, 61, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 330, 61, 952 is 1.
Therefore, GCD of numbers 434, 330, 61, 952 is 1
Given Input Data is 434, 330, 61, 952
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 61 is 61
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
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(434, 330) = 71610
GCD(434, 330) = ( 434 x 330 ) / 71610
GCD(434, 330) = 143220 / 71610
GCD(434, 330) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 61) = 122
GCD(2, 61) = ( 2 x 61 ) / 122
GCD(2, 61) = 122 / 122
GCD(2, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 952
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 952) = 952
GCD(1, 952) = ( 1 x 952 ) / 952
GCD(1, 952) = 952 / 952
GCD(1, 952) = 1
GCD of 434, 330, 61, 952 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 434, 330, 61, 952?
GCD of 434, 330, 61, 952 is 1
2. Where do I get the detailed procedure to find GCD of 434, 330, 61, 952?
You can find a detailed procedure to find GCD of 434, 330, 61, 952 on our page.
3. How to find GCD of 434, 330, 61, 952 on a calculator?
You can find the GCD of 434, 330, 61, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.