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 739, 763, 66, 688 i.e. 1 largest integer that divides all the numbers equally.
GCD of 739, 763, 66, 688 is 1
GCD(739, 763, 66, 688) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 739, 763, 66, 688 is 1
GCD(739, 763, 66, 688) = 1
Given Input numbers are 739, 763, 66, 688
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Greatest Common Divisior
We found the divisors of 739, 763, 66, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 739, 763, 66, 688 is 1.
Therefore, GCD of numbers 739, 763, 66, 688 is 1
Given Input Data is 739, 763, 66, 688
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 739 is 739
Prime Factorization of 763 is 7 x 109
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
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(739, 763) = 563857
GCD(739, 763) = ( 739 x 763 ) / 563857
GCD(739, 763) = 563857 / 563857
GCD(739, 763) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 688
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 688) = 688
GCD(1, 688) = ( 1 x 688 ) / 688
GCD(1, 688) = 688 / 688
GCD(1, 688) = 1
GCD of 739, 763, 66, 688 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 739, 763, 66, 688?
GCD of 739, 763, 66, 688 is 1
2. Where do I get the detailed procedure to find GCD of 739, 763, 66, 688?
You can find a detailed procedure to find GCD of 739, 763, 66, 688 on our page.
3. How to find GCD of 739, 763, 66, 688 on a calculator?
You can find the GCD of 739, 763, 66, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.