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, 777, 551, 851 i.e. 1 largest integer that divides all the numbers equally.
GCD of 84, 777, 551, 851 is 1
GCD(84, 777, 551, 851) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 84, 777, 551, 851 is 1
GCD(84, 777, 551, 851) = 1
Given Input numbers are 84, 777, 551, 851
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 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 551
List of positive integer divisors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Divisors of 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Greatest Common Divisior
We found the divisors of 84, 777, 551, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 777, 551, 851 is 1.
Therefore, GCD of numbers 84, 777, 551, 851 is 1
Given Input Data is 84, 777, 551, 851
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 777 is 3 x 7 x 37
Prime Factorization of 551 is 19 x 29
Prime Factorization of 851 is 23 x 37
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, 777) = 3108
GCD(84, 777) = ( 84 x 777 ) / 3108
GCD(84, 777) = 65268 / 3108
GCD(84, 777) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 551
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 551) = 11571
GCD(21, 551) = ( 21 x 551 ) / 11571
GCD(21, 551) = 11571 / 11571
GCD(21, 551) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 851
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 851) = 851
GCD(1, 851) = ( 1 x 851 ) / 851
GCD(1, 851) = 851 / 851
GCD(1, 851) = 1
GCD of 84, 777, 551, 851 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 84, 777, 551, 851?
GCD of 84, 777, 551, 851 is 1
2. Where do I get the detailed procedure to find GCD of 84, 777, 551, 851?
You can find a detailed procedure to find GCD of 84, 777, 551, 851 on our page.
3. How to find GCD of 84, 777, 551, 851 on a calculator?
You can find the GCD of 84, 777, 551, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.