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 804, 834, 749, 702 i.e. 1 largest integer that divides all the numbers equally.
GCD of 804, 834, 749, 702 is 1
GCD(804, 834, 749, 702) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 804, 834, 749, 702 is 1
GCD(804, 834, 749, 702) = 1
Given Input numbers are 804, 834, 749, 702
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Greatest Common Divisior
We found the divisors of 804, 834, 749, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 834, 749, 702 is 1.
Therefore, GCD of numbers 804, 834, 749, 702 is 1
Given Input Data is 804, 834, 749, 702
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 834 is 2 x 3 x 139
Prime Factorization of 749 is 7 x 107
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
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(804, 834) = 111756
GCD(804, 834) = ( 804 x 834 ) / 111756
GCD(804, 834) = 670536 / 111756
GCD(804, 834) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 749
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 749) = 4494
GCD(6, 749) = ( 6 x 749 ) / 4494
GCD(6, 749) = 4494 / 4494
GCD(6, 749) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 702) = 702
GCD(1, 702) = ( 1 x 702 ) / 702
GCD(1, 702) = 702 / 702
GCD(1, 702) = 1
GCD of 804, 834, 749, 702 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 804, 834, 749, 702?
GCD of 804, 834, 749, 702 is 1
2. Where do I get the detailed procedure to find GCD of 804, 834, 749, 702?
You can find a detailed procedure to find GCD of 804, 834, 749, 702 on our page.
3. How to find GCD of 804, 834, 749, 702 on a calculator?
You can find the GCD of 804, 834, 749, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.