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, 379, 946, 549 i.e. 1 largest integer that divides all the numbers equally.
GCD of 84, 379, 946, 549 is 1
GCD(84, 379, 946, 549) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 84, 379, 946, 549 is 1
GCD(84, 379, 946, 549) = 1
Given Input numbers are 84, 379, 946, 549
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 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Greatest Common Divisior
We found the divisors of 84, 379, 946, 549 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 379, 946, 549 is 1.
Therefore, GCD of numbers 84, 379, 946, 549 is 1
Given Input Data is 84, 379, 946, 549
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 379 is 379
Prime Factorization of 946 is 2 x 11 x 43
Prime Factorization of 549 is 3 x 3 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(84, 379) = 31836
GCD(84, 379) = ( 84 x 379 ) / 31836
GCD(84, 379) = 31836 / 31836
GCD(84, 379) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 946
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 946) = 946
GCD(1, 946) = ( 1 x 946 ) / 946
GCD(1, 946) = 946 / 946
GCD(1, 946) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 549
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 549) = 549
GCD(1, 549) = ( 1 x 549 ) / 549
GCD(1, 549) = 549 / 549
GCD(1, 549) = 1
GCD of 84, 379, 946, 549 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 84, 379, 946, 549?
GCD of 84, 379, 946, 549 is 1
2. Where do I get the detailed procedure to find GCD of 84, 379, 946, 549?
You can find a detailed procedure to find GCD of 84, 379, 946, 549 on our page.
3. How to find GCD of 84, 379, 946, 549 on a calculator?
You can find the GCD of 84, 379, 946, 549 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.