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 739, 872, 46, 284 i.e. 1 largest integer that divides all the numbers equally.
GCD of 739, 872, 46, 284 is 1
GCD(739, 872, 46, 284) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 739, 872, 46, 284 is 1
GCD(739, 872, 46, 284) = 1
Given Input numbers are 739, 872, 46, 284
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Greatest Common Divisior
We found the divisors of 739, 872, 46, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 739, 872, 46, 284 is 1.
Therefore, GCD of numbers 739, 872, 46, 284 is 1
Given Input Data is 739, 872, 46, 284
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 739 is 739
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 46 is 2 x 23
Prime Factorization of 284 is 2 x 2 x 71
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(739, 872) = 644408
GCD(739, 872) = ( 739 x 872 ) / 644408
GCD(739, 872) = 644408 / 644408
GCD(739, 872) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 46) = 46
GCD(1, 46) = ( 1 x 46 ) / 46
GCD(1, 46) = 46 / 46
GCD(1, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 284
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 284) = 284
GCD(1, 284) = ( 1 x 284 ) / 284
GCD(1, 284) = 284 / 284
GCD(1, 284) = 1
GCD of 739, 872, 46, 284 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 739, 872, 46, 284?
GCD of 739, 872, 46, 284 is 1
2. Where do I get the detailed procedure to find GCD of 739, 872, 46, 284?
You can find a detailed procedure to find GCD of 739, 872, 46, 284 on our page.
3. How to find GCD of 739, 872, 46, 284 on a calculator?
You can find the GCD of 739, 872, 46, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.