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 352, 134, 41, 987 i.e. 1 largest integer that divides all the numbers equally.
GCD of 352, 134, 41, 987 is 1
GCD(352, 134, 41, 987) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 352, 134, 41, 987 is 1
GCD(352, 134, 41, 987) = 1
Given Input numbers are 352, 134, 41, 987
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Greatest Common Divisior
We found the divisors of 352, 134, 41, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 134, 41, 987 is 1.
Therefore, GCD of numbers 352, 134, 41, 987 is 1
Given Input Data is 352, 134, 41, 987
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 134 is 2 x 67
Prime Factorization of 41 is 41
Prime Factorization of 987 is 3 x 7 x 47
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(352, 134) = 23584
GCD(352, 134) = ( 352 x 134 ) / 23584
GCD(352, 134) = 47168 / 23584
GCD(352, 134) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 41) = 82
GCD(2, 41) = ( 2 x 41 ) / 82
GCD(2, 41) = 82 / 82
GCD(2, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
GCD(1, 987) = 987 / 987
GCD(1, 987) = 1
GCD of 352, 134, 41, 987 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 352, 134, 41, 987?
GCD of 352, 134, 41, 987 is 1
2. Where do I get the detailed procedure to find GCD of 352, 134, 41, 987?
You can find a detailed procedure to find GCD of 352, 134, 41, 987 on our page.
3. How to find GCD of 352, 134, 41, 987 on a calculator?
You can find the GCD of 352, 134, 41, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.