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 689, 103, 77, 734 i.e. 1 largest integer that divides all the numbers equally.
GCD of 689, 103, 77, 734 is 1
GCD(689, 103, 77, 734) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 689, 103, 77, 734 is 1
GCD(689, 103, 77, 734) = 1
Given Input numbers are 689, 103, 77, 734
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Greatest Common Divisior
We found the divisors of 689, 103, 77, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 103, 77, 734 is 1.
Therefore, GCD of numbers 689, 103, 77, 734 is 1
Given Input Data is 689, 103, 77, 734
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 689 is 13 x 53
Prime Factorization of 103 is 103
Prime Factorization of 77 is 7 x 11
Prime Factorization of 734 is 2 x 367
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(689, 103) = 70967
GCD(689, 103) = ( 689 x 103 ) / 70967
GCD(689, 103) = 70967 / 70967
GCD(689, 103) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 734
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 734) = 734
GCD(1, 734) = ( 1 x 734 ) / 734
GCD(1, 734) = 734 / 734
GCD(1, 734) = 1
GCD of 689, 103, 77, 734 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 689, 103, 77, 734?
GCD of 689, 103, 77, 734 is 1
2. Where do I get the detailed procedure to find GCD of 689, 103, 77, 734?
You can find a detailed procedure to find GCD of 689, 103, 77, 734 on our page.
3. How to find GCD of 689, 103, 77, 734 on a calculator?
You can find the GCD of 689, 103, 77, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.