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 84, 491, 292, 118 i.e. 1 largest integer that divides all the numbers equally.
GCD of 84, 491, 292, 118 is 1
GCD(84, 491, 292, 118) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 84, 491, 292, 118 is 1
GCD(84, 491, 292, 118) = 1
Given Input numbers are 84, 491, 292, 118
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Divisors of 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
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 84, 491, 292, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 491, 292, 118 is 1.
Therefore, GCD of numbers 84, 491, 292, 118 is 1
Given Input Data is 84, 491, 292, 118
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 491 is 491
Prime Factorization of 292 is 2 x 2 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(84, 491) = 41244
GCD(84, 491) = ( 84 x 491 ) / 41244
GCD(84, 491) = 41244 / 41244
GCD(84, 491) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 292
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 292) = 292
GCD(1, 292) = ( 1 x 292 ) / 292
GCD(1, 292) = 292 / 292
GCD(1, 292) = 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 84, 491, 292, 118 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 84, 491, 292, 118?
GCD of 84, 491, 292, 118 is 1
2. Where do I get the detailed procedure to find GCD of 84, 491, 292, 118?
You can find a detailed procedure to find GCD of 84, 491, 292, 118 on our page.
3. How to find GCD of 84, 491, 292, 118 on a calculator?
You can find the GCD of 84, 491, 292, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.