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, 772, 121, 336 i.e. 1 largest integer that divides all the numbers equally.
GCD of 84, 772, 121, 336 is 1
GCD(84, 772, 121, 336) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 84, 772, 121, 336 is 1
GCD(84, 772, 121, 336) = 1
Given Input numbers are 84, 772, 121, 336
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 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Greatest Common Divisior
We found the divisors of 84, 772, 121, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 772, 121, 336 is 1.
Therefore, GCD of numbers 84, 772, 121, 336 is 1
Given Input Data is 84, 772, 121, 336
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 772 is 2 x 2 x 193
Prime Factorization of 121 is 11 x 11
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
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, 772) = 16212
GCD(84, 772) = ( 84 x 772 ) / 16212
GCD(84, 772) = 64848 / 16212
GCD(84, 772) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 121
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 121) = 484
GCD(4, 121) = ( 4 x 121 ) / 484
GCD(4, 121) = 484 / 484
GCD(4, 121) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 336
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 336) = 336
GCD(1, 336) = ( 1 x 336 ) / 336
GCD(1, 336) = 336 / 336
GCD(1, 336) = 1
GCD of 84, 772, 121, 336 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 84, 772, 121, 336?
GCD of 84, 772, 121, 336 is 1
2. Where do I get the detailed procedure to find GCD of 84, 772, 121, 336?
You can find a detailed procedure to find GCD of 84, 772, 121, 336 on our page.
3. How to find GCD of 84, 772, 121, 336 on a calculator?
You can find the GCD of 84, 772, 121, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.