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 378, 882, 10, 618 i.e. 2 largest integer that divides all the numbers equally.
GCD of 378, 882, 10, 618 is 2
GCD(378, 882, 10, 618) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 882, 10, 618 is 2
GCD(378, 882, 10, 618) = 2
Given Input numbers are 378, 882, 10, 618
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
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 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Greatest Common Divisior
We found the divisors of 378, 882, 10, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 882, 10, 618 is 2.
Therefore, GCD of numbers 378, 882, 10, 618 is 2
Given Input Data is 378, 882, 10, 618
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
Prime Factorization of 10 is 2 x 5
Prime Factorization of 618 is 2 x 3 x 103
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(378, 882) = 2646
GCD(378, 882) = ( 378 x 882 ) / 2646
GCD(378, 882) = 333396 / 2646
GCD(378, 882) = 126
Step2:
Here we consider the GCD from the above i.e. 126 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(126, 10) = 630
GCD(126, 10) = ( 126 x 10 ) / 630
GCD(126, 10) = 1260 / 630
GCD(126, 10) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 618
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 618) = 618
GCD(2, 618) = ( 2 x 618 ) / 618
GCD(2, 618) = 1236 / 618
GCD(2, 618) = 2
GCD of 378, 882, 10, 618 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 378, 882, 10, 618?
GCD of 378, 882, 10, 618 is 2
2. Where do I get the detailed procedure to find GCD of 378, 882, 10, 618?
You can find a detailed procedure to find GCD of 378, 882, 10, 618 on our page.
3. How to find GCD of 378, 882, 10, 618 on a calculator?
You can find the GCD of 378, 882, 10, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.