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 532, 862, 111, 344 i.e. 1 largest integer that divides all the numbers equally.
GCD of 532, 862, 111, 344 is 1
GCD(532, 862, 111, 344) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 532, 862, 111, 344 is 1
GCD(532, 862, 111, 344) = 1
Given Input numbers are 532, 862, 111, 344
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Greatest Common Divisior
We found the divisors of 532, 862, 111, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 862, 111, 344 is 1.
Therefore, GCD of numbers 532, 862, 111, 344 is 1
Given Input Data is 532, 862, 111, 344
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 532 is 2 x 2 x 7 x 19
Prime Factorization of 862 is 2 x 431
Prime Factorization of 111 is 3 x 37
Prime Factorization of 344 is 2 x 2 x 2 x 43
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(532, 862) = 229292
GCD(532, 862) = ( 532 x 862 ) / 229292
GCD(532, 862) = 458584 / 229292
GCD(532, 862) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 111
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 111) = 222
GCD(2, 111) = ( 2 x 111 ) / 222
GCD(2, 111) = 222 / 222
GCD(2, 111) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 344
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 344) = 344
GCD(1, 344) = ( 1 x 344 ) / 344
GCD(1, 344) = 344 / 344
GCD(1, 344) = 1
GCD of 532, 862, 111, 344 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 532, 862, 111, 344?
GCD of 532, 862, 111, 344 is 1
2. Where do I get the detailed procedure to find GCD of 532, 862, 111, 344?
You can find a detailed procedure to find GCD of 532, 862, 111, 344 on our page.
3. How to find GCD of 532, 862, 111, 344 on a calculator?
You can find the GCD of 532, 862, 111, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.