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, 461, 740, 180 i.e. 1 largest integer that divides all the numbers equally.
GCD of 84, 461, 740, 180 is 1
GCD(84, 461, 740, 180) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 84, 461, 740, 180 is 1
GCD(84, 461, 740, 180) = 1
Given Input numbers are 84, 461, 740, 180
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 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Divisors of 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Greatest Common Divisior
We found the divisors of 84, 461, 740, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 461, 740, 180 is 1.
Therefore, GCD of numbers 84, 461, 740, 180 is 1
Given Input Data is 84, 461, 740, 180
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 461 is 461
Prime Factorization of 740 is 2 x 2 x 5 x 37
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
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, 461) = 38724
GCD(84, 461) = ( 84 x 461 ) / 38724
GCD(84, 461) = 38724 / 38724
GCD(84, 461) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 740
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 740) = 740
GCD(1, 740) = ( 1 x 740 ) / 740
GCD(1, 740) = 740 / 740
GCD(1, 740) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
GCD(1, 180) = 180 / 180
GCD(1, 180) = 1
GCD of 84, 461, 740, 180 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 84, 461, 740, 180?
GCD of 84, 461, 740, 180 is 1
2. Where do I get the detailed procedure to find GCD of 84, 461, 740, 180?
You can find a detailed procedure to find GCD of 84, 461, 740, 180 on our page.
3. How to find GCD of 84, 461, 740, 180 on a calculator?
You can find the GCD of 84, 461, 740, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.