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 74, 142, 219, 118 i.e. 1 largest integer that divides all the numbers equally.
GCD of 74, 142, 219, 118 is 1
GCD(74, 142, 219, 118) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 74, 142, 219, 118 is 1
GCD(74, 142, 219, 118) = 1
Given Input numbers are 74, 142, 219, 118
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 219
List of positive integer divisors of 219 that divides 219 without a remainder.
1, 3, 73, 219
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Greatest Common Divisior
We found the divisors of 74, 142, 219, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 142, 219, 118 is 1.
Therefore, GCD of numbers 74, 142, 219, 118 is 1
Given Input Data is 74, 142, 219, 118
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 74 is 2 x 37
Prime Factorization of 142 is 2 x 71
Prime Factorization of 219 is 3 x 73
Prime Factorization of 118 is 2 x 59
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(74, 142) = 5254
GCD(74, 142) = ( 74 x 142 ) / 5254
GCD(74, 142) = 10508 / 5254
GCD(74, 142) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 219
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 219) = 438
GCD(2, 219) = ( 2 x 219 ) / 438
GCD(2, 219) = 438 / 438
GCD(2, 219) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 118
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 118) = 118
GCD(1, 118) = ( 1 x 118 ) / 118
GCD(1, 118) = 118 / 118
GCD(1, 118) = 1
GCD of 74, 142, 219, 118 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 74, 142, 219, 118?
GCD of 74, 142, 219, 118 is 1
2. Where do I get the detailed procedure to find GCD of 74, 142, 219, 118?
You can find a detailed procedure to find GCD of 74, 142, 219, 118 on our page.
3. How to find GCD of 74, 142, 219, 118 on a calculator?
You can find the GCD of 74, 142, 219, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.