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 672, 855, 882, 345 i.e. 3 largest integer that divides all the numbers equally.
GCD of 672, 855, 882, 345 is 3
GCD(672, 855, 882, 345) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 672, 855, 882, 345 is 3
GCD(672, 855, 882, 345) = 3
Given Input numbers are 672, 855, 882, 345
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 672
List of positive integer divisors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 882
List of positive integer divisors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Greatest Common Divisior
We found the divisors of 672, 855, 882, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 855, 882, 345 is 3.
Therefore, GCD of numbers 672, 855, 882, 345 is 3
Given Input Data is 672, 855, 882, 345
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 855 is 3 x 3 x 5 x 19
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
Prime Factorization of 345 is 3 x 5 x 23
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(672, 855) = 191520
GCD(672, 855) = ( 672 x 855 ) / 191520
GCD(672, 855) = 574560 / 191520
GCD(672, 855) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 882
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 882) = 882
GCD(3, 882) = ( 3 x 882 ) / 882
GCD(3, 882) = 2646 / 882
GCD(3, 882) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 345
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 345) = 345
GCD(3, 345) = ( 3 x 345 ) / 345
GCD(3, 345) = 1035 / 345
GCD(3, 345) = 3
GCD of 672, 855, 882, 345 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 672, 855, 882, 345?
GCD of 672, 855, 882, 345 is 3
2. Where do I get the detailed procedure to find GCD of 672, 855, 882, 345?
You can find a detailed procedure to find GCD of 672, 855, 882, 345 on our page.
3. How to find GCD of 672, 855, 882, 345 on a calculator?
You can find the GCD of 672, 855, 882, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.