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 764, 429, 69, 110 i.e. 1 largest integer that divides all the numbers equally.
GCD of 764, 429, 69, 110 is 1
GCD(764, 429, 69, 110) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 764, 429, 69, 110 is 1
GCD(764, 429, 69, 110) = 1
Given Input numbers are 764, 429, 69, 110
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Greatest Common Divisior
We found the divisors of 764, 429, 69, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 429, 69, 110 is 1.
Therefore, GCD of numbers 764, 429, 69, 110 is 1
Given Input Data is 764, 429, 69, 110
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 429 is 3 x 11 x 13
Prime Factorization of 69 is 3 x 23
Prime Factorization of 110 is 2 x 5 x 11
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(764, 429) = 327756
GCD(764, 429) = ( 764 x 429 ) / 327756
GCD(764, 429) = 327756 / 327756
GCD(764, 429) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 110
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 110) = 110
GCD(1, 110) = ( 1 x 110 ) / 110
GCD(1, 110) = 110 / 110
GCD(1, 110) = 1
GCD of 764, 429, 69, 110 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 764, 429, 69, 110?
GCD of 764, 429, 69, 110 is 1
2. Where do I get the detailed procedure to find GCD of 764, 429, 69, 110?
You can find a detailed procedure to find GCD of 764, 429, 69, 110 on our page.
3. How to find GCD of 764, 429, 69, 110 on a calculator?
You can find the GCD of 764, 429, 69, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.