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 752, 343, 77, 818 i.e. 1 largest integer that divides all the numbers equally.
GCD of 752, 343, 77, 818 is 1
GCD(752, 343, 77, 818) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 752, 343, 77, 818 is 1
GCD(752, 343, 77, 818) = 1
Given Input numbers are 752, 343, 77, 818
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 818
List of positive integer divisors of 818 that divides 818 without a remainder.
1, 2, 409, 818
Greatest Common Divisior
We found the divisors of 752, 343, 77, 818 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 343, 77, 818 is 1.
Therefore, GCD of numbers 752, 343, 77, 818 is 1
Given Input Data is 752, 343, 77, 818
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 343 is 7 x 7 x 7
Prime Factorization of 77 is 7 x 11
Prime Factorization of 818 is 2 x 409
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(752, 343) = 257936
GCD(752, 343) = ( 752 x 343 ) / 257936
GCD(752, 343) = 257936 / 257936
GCD(752, 343) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 818
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 818) = 818
GCD(1, 818) = ( 1 x 818 ) / 818
GCD(1, 818) = 818 / 818
GCD(1, 818) = 1
GCD of 752, 343, 77, 818 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 752, 343, 77, 818?
GCD of 752, 343, 77, 818 is 1
2. Where do I get the detailed procedure to find GCD of 752, 343, 77, 818?
You can find a detailed procedure to find GCD of 752, 343, 77, 818 on our page.
3. How to find GCD of 752, 343, 77, 818 on a calculator?
You can find the GCD of 752, 343, 77, 818 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.