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 712, 753, 86, 341 i.e. 1 largest integer that divides all the numbers equally.
GCD of 712, 753, 86, 341 is 1
GCD(712, 753, 86, 341) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 712, 753, 86, 341 is 1
GCD(712, 753, 86, 341) = 1
Given Input numbers are 712, 753, 86, 341
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Greatest Common Divisior
We found the divisors of 712, 753, 86, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 753, 86, 341 is 1.
Therefore, GCD of numbers 712, 753, 86, 341 is 1
Given Input Data is 712, 753, 86, 341
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 753 is 3 x 251
Prime Factorization of 86 is 2 x 43
Prime Factorization of 341 is 11 x 31
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(712, 753) = 536136
GCD(712, 753) = ( 712 x 753 ) / 536136
GCD(712, 753) = 536136 / 536136
GCD(712, 753) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 86) = 86
GCD(1, 86) = ( 1 x 86 ) / 86
GCD(1, 86) = 86 / 86
GCD(1, 86) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 341
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 341) = 341
GCD(1, 341) = ( 1 x 341 ) / 341
GCD(1, 341) = 341 / 341
GCD(1, 341) = 1
GCD of 712, 753, 86, 341 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 712, 753, 86, 341?
GCD of 712, 753, 86, 341 is 1
2. Where do I get the detailed procedure to find GCD of 712, 753, 86, 341?
You can find a detailed procedure to find GCD of 712, 753, 86, 341 on our page.
3. How to find GCD of 712, 753, 86, 341 on a calculator?
You can find the GCD of 712, 753, 86, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.