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 652, 343, 814, 118 i.e. 1 largest integer that divides all the numbers equally.
GCD of 652, 343, 814, 118 is 1
GCD(652, 343, 814, 118) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 652, 343, 814, 118 is 1
GCD(652, 343, 814, 118) = 1
Given Input numbers are 652, 343, 814, 118
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Greatest Common Divisior
We found the divisors of 652, 343, 814, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 652, 343, 814, 118 is 1.
Therefore, GCD of numbers 652, 343, 814, 118 is 1
Given Input Data is 652, 343, 814, 118
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 343 is 7 x 7 x 7
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 118 is 2 x 59
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(652, 343) = 223636
GCD(652, 343) = ( 652 x 343 ) / 223636
GCD(652, 343) = 223636 / 223636
GCD(652, 343) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 814
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 814) = 814
GCD(1, 814) = ( 1 x 814 ) / 814
GCD(1, 814) = 814 / 814
GCD(1, 814) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 118
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 118) = 118
GCD(1, 118) = ( 1 x 118 ) / 118
GCD(1, 118) = 118 / 118
GCD(1, 118) = 1
GCD of 652, 343, 814, 118 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 652, 343, 814, 118?
GCD of 652, 343, 814, 118 is 1
2. Where do I get the detailed procedure to find GCD of 652, 343, 814, 118?
You can find a detailed procedure to find GCD of 652, 343, 814, 118 on our page.
3. How to find GCD of 652, 343, 814, 118 on a calculator?
You can find the GCD of 652, 343, 814, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.