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 714, 291, 528, 834 i.e. 3 largest integer that divides all the numbers equally.
GCD of 714, 291, 528, 834 is 3
GCD(714, 291, 528, 834) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 714, 291, 528, 834 is 3
GCD(714, 291, 528, 834) = 3
Given Input numbers are 714, 291, 528, 834
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Divisors of 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Greatest Common Divisior
We found the divisors of 714, 291, 528, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 291, 528, 834 is 3.
Therefore, GCD of numbers 714, 291, 528, 834 is 3
Given Input Data is 714, 291, 528, 834
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 714 is 2 x 3 x 7 x 17
Prime Factorization of 291 is 3 x 97
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 834 is 2 x 3 x 139
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(714, 291) = 69258
GCD(714, 291) = ( 714 x 291 ) / 69258
GCD(714, 291) = 207774 / 69258
GCD(714, 291) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 528
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 528) = 528
GCD(3, 528) = ( 3 x 528 ) / 528
GCD(3, 528) = 1584 / 528
GCD(3, 528) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 834
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 834) = 834
GCD(3, 834) = ( 3 x 834 ) / 834
GCD(3, 834) = 2502 / 834
GCD(3, 834) = 3
GCD of 714, 291, 528, 834 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 714, 291, 528, 834?
GCD of 714, 291, 528, 834 is 3
2. Where do I get the detailed procedure to find GCD of 714, 291, 528, 834?
You can find a detailed procedure to find GCD of 714, 291, 528, 834 on our page.
3. How to find GCD of 714, 291, 528, 834 on a calculator?
You can find the GCD of 714, 291, 528, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.