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, 492, 121, 878 i.e. 1 largest integer that divides all the numbers equally.
GCD of 142, 492, 121, 878 is 1
GCD(142, 492, 121, 878) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 142, 492, 121, 878 is 1
GCD(142, 492, 121, 878) = 1
Given Input numbers are 142, 492, 121, 878
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 492
List of positive integer divisors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Greatest Common Divisior
We found the divisors of 142, 492, 121, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 492, 121, 878 is 1.
Therefore, GCD of numbers 142, 492, 121, 878 is 1
Given Input Data is 142, 492, 121, 878
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 142 is 2 x 71
Prime Factorization of 492 is 2 x 2 x 3 x 41
Prime Factorization of 121 is 11 x 11
Prime Factorization of 878 is 2 x 439
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, 492) = 34932
GCD(142, 492) = ( 142 x 492 ) / 34932
GCD(142, 492) = 69864 / 34932
GCD(142, 492) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 121
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 121) = 242
GCD(2, 121) = ( 2 x 121 ) / 242
GCD(2, 121) = 242 / 242
GCD(2, 121) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 878
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 878) = 878
GCD(1, 878) = ( 1 x 878 ) / 878
GCD(1, 878) = 878 / 878
GCD(1, 878) = 1
GCD of 142, 492, 121, 878 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 142, 492, 121, 878?
GCD of 142, 492, 121, 878 is 1
2. Where do I get the detailed procedure to find GCD of 142, 492, 121, 878?
You can find a detailed procedure to find GCD of 142, 492, 121, 878 on our page.
3. How to find GCD of 142, 492, 121, 878 on a calculator?
You can find the GCD of 142, 492, 121, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.