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 511, 770, 71, 168 i.e. 1 largest integer that divides all the numbers equally.
GCD of 511, 770, 71, 168 is 1
GCD(511, 770, 71, 168) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 511, 770, 71, 168 is 1
GCD(511, 770, 71, 168) = 1
Given Input numbers are 511, 770, 71, 168
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 511
List of positive integer divisors of 511 that divides 511 without a remainder.
1, 7, 73, 511
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Greatest Common Divisior
We found the divisors of 511, 770, 71, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 511, 770, 71, 168 is 1.
Therefore, GCD of numbers 511, 770, 71, 168 is 1
Given Input Data is 511, 770, 71, 168
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 511 is 7 x 73
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 71 is 71
Prime Factorization of 168 is 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(511, 770) = 56210
GCD(511, 770) = ( 511 x 770 ) / 56210
GCD(511, 770) = 393470 / 56210
GCD(511, 770) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 71) = 497
GCD(7, 71) = ( 7 x 71 ) / 497
GCD(7, 71) = 497 / 497
GCD(7, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 168
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 168) = 168
GCD(1, 168) = ( 1 x 168 ) / 168
GCD(1, 168) = 168 / 168
GCD(1, 168) = 1
GCD of 511, 770, 71, 168 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 511, 770, 71, 168?
GCD of 511, 770, 71, 168 is 1
2. Where do I get the detailed procedure to find GCD of 511, 770, 71, 168?
You can find a detailed procedure to find GCD of 511, 770, 71, 168 on our page.
3. How to find GCD of 511, 770, 71, 168 on a calculator?
You can find the GCD of 511, 770, 71, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.