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 952, 452, 29, 476 i.e. 1 largest integer that divides all the numbers equally.
GCD of 952, 452, 29, 476 is 1
GCD(952, 452, 29, 476) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 952, 452, 29, 476 is 1
GCD(952, 452, 29, 476) = 1
Given Input numbers are 952, 452, 29, 476
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Greatest Common Divisior
We found the divisors of 952, 452, 29, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 452, 29, 476 is 1.
Therefore, GCD of numbers 952, 452, 29, 476 is 1
Given Input Data is 952, 452, 29, 476
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 29 is 29
Prime Factorization of 476 is 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(952, 452) = 107576
GCD(952, 452) = ( 952 x 452 ) / 107576
GCD(952, 452) = 430304 / 107576
GCD(952, 452) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 29) = 116
GCD(4, 29) = ( 4 x 29 ) / 116
GCD(4, 29) = 116 / 116
GCD(4, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 476
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 476) = 476
GCD(1, 476) = ( 1 x 476 ) / 476
GCD(1, 476) = 476 / 476
GCD(1, 476) = 1
GCD of 952, 452, 29, 476 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 952, 452, 29, 476?
GCD of 952, 452, 29, 476 is 1
2. Where do I get the detailed procedure to find GCD of 952, 452, 29, 476?
You can find a detailed procedure to find GCD of 952, 452, 29, 476 on our page.
3. How to find GCD of 952, 452, 29, 476 on a calculator?
You can find the GCD of 952, 452, 29, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.