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 134, 832, 913, 946 i.e. 1 largest integer that divides all the numbers equally.
GCD of 134, 832, 913, 946 is 1
GCD(134, 832, 913, 946) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 134, 832, 913, 946 is 1
GCD(134, 832, 913, 946) = 1
Given Input numbers are 134, 832, 913, 946
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Greatest Common Divisior
We found the divisors of 134, 832, 913, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 832, 913, 946 is 1.
Therefore, GCD of numbers 134, 832, 913, 946 is 1
Given Input Data is 134, 832, 913, 946
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 134 is 2 x 67
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 913 is 11 x 83
Prime Factorization of 946 is 2 x 11 x 43
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(134, 832) = 55744
GCD(134, 832) = ( 134 x 832 ) / 55744
GCD(134, 832) = 111488 / 55744
GCD(134, 832) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 913
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 913) = 1826
GCD(2, 913) = ( 2 x 913 ) / 1826
GCD(2, 913) = 1826 / 1826
GCD(2, 913) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 946
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 946) = 946
GCD(1, 946) = ( 1 x 946 ) / 946
GCD(1, 946) = 946 / 946
GCD(1, 946) = 1
GCD of 134, 832, 913, 946 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 134, 832, 913, 946?
GCD of 134, 832, 913, 946 is 1
2. Where do I get the detailed procedure to find GCD of 134, 832, 913, 946?
You can find a detailed procedure to find GCD of 134, 832, 913, 946 on our page.
3. How to find GCD of 134, 832, 913, 946 on a calculator?
You can find the GCD of 134, 832, 913, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.