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 142, 119, 46, 994 i.e. 1 largest integer that divides all the numbers equally.
GCD of 142, 119, 46, 994 is 1
GCD(142, 119, 46, 994) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 142, 119, 46, 994 is 1
GCD(142, 119, 46, 994) = 1
Given Input numbers are 142, 119, 46, 994
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Greatest Common Divisior
We found the divisors of 142, 119, 46, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 119, 46, 994 is 1.
Therefore, GCD of numbers 142, 119, 46, 994 is 1
Given Input Data is 142, 119, 46, 994
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 142 is 2 x 71
Prime Factorization of 119 is 7 x 17
Prime Factorization of 46 is 2 x 23
Prime Factorization of 994 is 2 x 7 x 71
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(142, 119) = 16898
GCD(142, 119) = ( 142 x 119 ) / 16898
GCD(142, 119) = 16898 / 16898
GCD(142, 119) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 46) = 46
GCD(1, 46) = ( 1 x 46 ) / 46
GCD(1, 46) = 46 / 46
GCD(1, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 994
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 994) = 994
GCD(1, 994) = ( 1 x 994 ) / 994
GCD(1, 994) = 994 / 994
GCD(1, 994) = 1
GCD of 142, 119, 46, 994 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 142, 119, 46, 994?
GCD of 142, 119, 46, 994 is 1
2. Where do I get the detailed procedure to find GCD of 142, 119, 46, 994?
You can find a detailed procedure to find GCD of 142, 119, 46, 994 on our page.
3. How to find GCD of 142, 119, 46, 994 on a calculator?
You can find the GCD of 142, 119, 46, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.