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 713, 461, 35, 894 i.e. 1 largest integer that divides all the numbers equally.
GCD of 713, 461, 35, 894 is 1
GCD(713, 461, 35, 894) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 713, 461, 35, 894 is 1
GCD(713, 461, 35, 894) = 1
Given Input numbers are 713, 461, 35, 894
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Greatest Common Divisior
We found the divisors of 713, 461, 35, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 461, 35, 894 is 1.
Therefore, GCD of numbers 713, 461, 35, 894 is 1
Given Input Data is 713, 461, 35, 894
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 713 is 23 x 31
Prime Factorization of 461 is 461
Prime Factorization of 35 is 5 x 7
Prime Factorization of 894 is 2 x 3 x 149
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(713, 461) = 328693
GCD(713, 461) = ( 713 x 461 ) / 328693
GCD(713, 461) = 328693 / 328693
GCD(713, 461) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 35) = 35
GCD(1, 35) = ( 1 x 35 ) / 35
GCD(1, 35) = 35 / 35
GCD(1, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 894
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 894) = 894
GCD(1, 894) = ( 1 x 894 ) / 894
GCD(1, 894) = 894 / 894
GCD(1, 894) = 1
GCD of 713, 461, 35, 894 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 713, 461, 35, 894?
GCD of 713, 461, 35, 894 is 1
2. Where do I get the detailed procedure to find GCD of 713, 461, 35, 894?
You can find a detailed procedure to find GCD of 713, 461, 35, 894 on our page.
3. How to find GCD of 713, 461, 35, 894 on a calculator?
You can find the GCD of 713, 461, 35, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.