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, 901, 42, 976 i.e. 1 largest integer that divides all the numbers equally.
GCD of 134, 901, 42, 976 is 1
GCD(134, 901, 42, 976) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 134, 901, 42, 976 is 1
GCD(134, 901, 42, 976) = 1
Given Input numbers are 134, 901, 42, 976
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 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Greatest Common Divisior
We found the divisors of 134, 901, 42, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 901, 42, 976 is 1.
Therefore, GCD of numbers 134, 901, 42, 976 is 1
Given Input Data is 134, 901, 42, 976
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 134 is 2 x 67
Prime Factorization of 901 is 17 x 53
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
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, 901) = 120734
GCD(134, 901) = ( 134 x 901 ) / 120734
GCD(134, 901) = 120734 / 120734
GCD(134, 901) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 976
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 976) = 976
GCD(1, 976) = ( 1 x 976 ) / 976
GCD(1, 976) = 976 / 976
GCD(1, 976) = 1
GCD of 134, 901, 42, 976 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 134, 901, 42, 976?
GCD of 134, 901, 42, 976 is 1
2. Where do I get the detailed procedure to find GCD of 134, 901, 42, 976?
You can find a detailed procedure to find GCD of 134, 901, 42, 976 on our page.
3. How to find GCD of 134, 901, 42, 976 on a calculator?
You can find the GCD of 134, 901, 42, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.