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, 798, 834, 707 i.e. 1 largest integer that divides all the numbers equally.
GCD of 712, 798, 834, 707 is 1
GCD(712, 798, 834, 707) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 712, 798, 834, 707 is 1
GCD(712, 798, 834, 707) = 1
Given Input numbers are 712, 798, 834, 707
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 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
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 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Greatest Common Divisior
We found the divisors of 712, 798, 834, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 798, 834, 707 is 1.
Therefore, GCD of numbers 712, 798, 834, 707 is 1
Given Input Data is 712, 798, 834, 707
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 798 is 2 x 3 x 7 x 19
Prime Factorization of 834 is 2 x 3 x 139
Prime Factorization of 707 is 7 x 101
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, 798) = 284088
GCD(712, 798) = ( 712 x 798 ) / 284088
GCD(712, 798) = 568176 / 284088
GCD(712, 798) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 834
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 834) = 834
GCD(2, 834) = ( 2 x 834 ) / 834
GCD(2, 834) = 1668 / 834
GCD(2, 834) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 707) = 1414
GCD(2, 707) = ( 2 x 707 ) / 1414
GCD(2, 707) = 1414 / 1414
GCD(2, 707) = 1
GCD of 712, 798, 834, 707 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 712, 798, 834, 707?
GCD of 712, 798, 834, 707 is 1
2. Where do I get the detailed procedure to find GCD of 712, 798, 834, 707?
You can find a detailed procedure to find GCD of 712, 798, 834, 707 on our page.
3. How to find GCD of 712, 798, 834, 707 on a calculator?
You can find the GCD of 712, 798, 834, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.