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 708, 549, 86, 764 i.e. 1 largest integer that divides all the numbers equally.
GCD of 708, 549, 86, 764 is 1
GCD(708, 549, 86, 764) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 708, 549, 86, 764 is 1
GCD(708, 549, 86, 764) = 1
Given Input numbers are 708, 549, 86, 764
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Greatest Common Divisior
We found the divisors of 708, 549, 86, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 549, 86, 764 is 1.
Therefore, GCD of numbers 708, 549, 86, 764 is 1
Given Input Data is 708, 549, 86, 764
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 549 is 3 x 3 x 61
Prime Factorization of 86 is 2 x 43
Prime Factorization of 764 is 2 x 2 x 191
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(708, 549) = 129564
GCD(708, 549) = ( 708 x 549 ) / 129564
GCD(708, 549) = 388692 / 129564
GCD(708, 549) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 86) = 258
GCD(3, 86) = ( 3 x 86 ) / 258
GCD(3, 86) = 258 / 258
GCD(3, 86) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
GCD(1, 764) = 764 / 764
GCD(1, 764) = 1
GCD of 708, 549, 86, 764 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 708, 549, 86, 764?
GCD of 708, 549, 86, 764 is 1
2. Where do I get the detailed procedure to find GCD of 708, 549, 86, 764?
You can find a detailed procedure to find GCD of 708, 549, 86, 764 on our page.
3. How to find GCD of 708, 549, 86, 764 on a calculator?
You can find the GCD of 708, 549, 86, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.