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 726, 954, 802, 385 i.e. 1 largest integer that divides all the numbers equally.
GCD of 726, 954, 802, 385 is 1
GCD(726, 954, 802, 385) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 726, 954, 802, 385 is 1
GCD(726, 954, 802, 385) = 1
Given Input numbers are 726, 954, 802, 385
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 726
List of positive integer divisors of 726 that divides 726 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Greatest Common Divisior
We found the divisors of 726, 954, 802, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 954, 802, 385 is 1.
Therefore, GCD of numbers 726, 954, 802, 385 is 1
Given Input Data is 726, 954, 802, 385
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 726 is 2 x 3 x 11 x 11
Prime Factorization of 954 is 2 x 3 x 3 x 53
Prime Factorization of 802 is 2 x 401
Prime Factorization of 385 is 5 x 7 x 11
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(726, 954) = 115434
GCD(726, 954) = ( 726 x 954 ) / 115434
GCD(726, 954) = 692604 / 115434
GCD(726, 954) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 802) = 2406
GCD(6, 802) = ( 6 x 802 ) / 2406
GCD(6, 802) = 4812 / 2406
GCD(6, 802) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 385) = 770
GCD(2, 385) = ( 2 x 385 ) / 770
GCD(2, 385) = 770 / 770
GCD(2, 385) = 1
GCD of 726, 954, 802, 385 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 726, 954, 802, 385?
GCD of 726, 954, 802, 385 is 1
2. Where do I get the detailed procedure to find GCD of 726, 954, 802, 385?
You can find a detailed procedure to find GCD of 726, 954, 802, 385 on our page.
3. How to find GCD of 726, 954, 802, 385 on a calculator?
You can find the GCD of 726, 954, 802, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.