GCD of 378, 210, 308 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 378, 210, 308 quickly. Get the easiest ways to solve the greatest common divisor of 378, 210, 308 i.e 14 in different methods as follows.
Given Input numbers are 378, 210, 308
In the factoring method, we have to find the divisors of all numbers
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
GCD of numbers is the greatest common divisor
So, the GCD (378, 210, 308) = 14.
Given numbers are 378, 210, 308
The list of prime factors of all numbers are
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 308 are 2 x 2 x 7 x 11
The highest common occurrence is 21 x 71
Therefore, GCD of 378, 210, 308 is 14.
Steps to Calculate GCD of 378, 210, 308 using LCM Formula
Given numbers are 378, 210, 308
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 210) = 1890
GCD(378, 210) = ( 378 x 210 ) / 1890
= 378 / 210
= 378
Step2:
LCM(42, 308) = 924
GCD(42, 308) = ( 42 x 308 ) / 924
= 42 / 308
= 42
So, Greatest Common Divisor of 378, 210, 308 is 14
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 378, 210, 308
Given numbers are 378, 210, 308
The greatest common divisor of numbers 378, 210, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 210, 308 is 14.
FAQs on GCD of 378, 210, 308 Calculator
1. What is the GCD of 378, 210, 308?
GCD of given numbers 378, 210, 308 is 14
2. How to calculate the greatest common divisor of 378, 210, 308?
We can find the highest common divisor of 378, 210, 308 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 378, 210, 308 i.e 14.
3. How can I use the GCD of 378, 210, 308Calculator?
Out the numbers 378, 210, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.