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 969, 705, 351 i.e. 3 largest integer that divides all the numbers equally.
GCD of 969, 705, 351 is 3
GCD(969, 705, 351) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 969, 705, 351 is 3
GCD(969, 705, 351) = 3
Given Input numbers are 969, 705, 351
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Greatest Common Divisior
We found the divisors of 969, 705, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 705, 351 is 3.
Therefore, GCD of numbers 969, 705, 351 is 3
Given Input Data is 969, 705, 351
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 351 is 3 x 3 x 3 x 13
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(969, 705) = 227715
GCD(969, 705) = ( 969 x 705 ) / 227715
GCD(969, 705) = 683145 / 227715
GCD(969, 705) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 351
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 351) = 351
GCD(3, 351) = ( 3 x 351 ) / 351
GCD(3, 351) = 1053 / 351
GCD(3, 351) = 3
GCD of 969, 705, 351 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 969, 705, 351?
GCD of 969, 705, 351 is 3
2. Where do I get the detailed procedure to find GCD of 969, 705, 351?
You can find a detailed procedure to find GCD of 969, 705, 351 on our page.
3. How to find GCD of 969, 705, 351 on a calculator?
You can find the GCD of 969, 705, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.