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 609, 836, 14, 770 i.e. 1 largest integer that divides all the numbers equally.
GCD of 609, 836, 14, 770 is 1
GCD(609, 836, 14, 770) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 609, 836, 14, 770 is 1
GCD(609, 836, 14, 770) = 1
Given Input numbers are 609, 836, 14, 770
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 836
List of positive integer divisors of 836 that divides 836 without a remainder.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Greatest Common Divisior
We found the divisors of 609, 836, 14, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 609, 836, 14, 770 is 1.
Therefore, GCD of numbers 609, 836, 14, 770 is 1
Given Input Data is 609, 836, 14, 770
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 609 is 3 x 7 x 29
Prime Factorization of 836 is 2 x 2 x 11 x 19
Prime Factorization of 14 is 2 x 7
Prime Factorization of 770 is 2 x 5 x 7 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(609, 836) = 509124
GCD(609, 836) = ( 609 x 836 ) / 509124
GCD(609, 836) = 509124 / 509124
GCD(609, 836) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 770
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 770) = 770
GCD(1, 770) = ( 1 x 770 ) / 770
GCD(1, 770) = 770 / 770
GCD(1, 770) = 1
GCD of 609, 836, 14, 770 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 609, 836, 14, 770?
GCD of 609, 836, 14, 770 is 1
2. Where do I get the detailed procedure to find GCD of 609, 836, 14, 770?
You can find a detailed procedure to find GCD of 609, 836, 14, 770 on our page.
3. How to find GCD of 609, 836, 14, 770 on a calculator?
You can find the GCD of 609, 836, 14, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.