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 77, 843, 510, 210 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 843, 510, 210 is 1
GCD(77, 843, 510, 210) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 843, 510, 210 is 1
GCD(77, 843, 510, 210) = 1
Given Input numbers are 77, 843, 510, 210
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Greatest Common Divisior
We found the divisors of 77, 843, 510, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 843, 510, 210 is 1.
Therefore, GCD of numbers 77, 843, 510, 210 is 1
Given Input Data is 77, 843, 510, 210
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 843 is 3 x 281
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 210 is 2 x 3 x 5 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(77, 843) = 64911
GCD(77, 843) = ( 77 x 843 ) / 64911
GCD(77, 843) = 64911 / 64911
GCD(77, 843) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 510
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 510) = 510
GCD(1, 510) = ( 1 x 510 ) / 510
GCD(1, 510) = 510 / 510
GCD(1, 510) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 210
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 210) = 210
GCD(1, 210) = ( 1 x 210 ) / 210
GCD(1, 210) = 210 / 210
GCD(1, 210) = 1
GCD of 77, 843, 510, 210 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 843, 510, 210?
GCD of 77, 843, 510, 210 is 1
2. Where do I get the detailed procedure to find GCD of 77, 843, 510, 210?
You can find a detailed procedure to find GCD of 77, 843, 510, 210 on our page.
3. How to find GCD of 77, 843, 510, 210 on a calculator?
You can find the GCD of 77, 843, 510, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.