Online GCD Calculator is useful to find the GCD of 406, 270, 314, 378 quickly. Get the easiest ways to solve the greatest common divisor of 406, 270, 314, 378 i.e 2 in different methods as follows.
Given Input numbers are 406, 270, 314, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 406 :
The positive integer divisors of 406 that completely divides 406 are.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
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
GCD of numbers is the greatest common divisor
So, the GCD (406, 270, 314, 378) = 2.
Given numbers are 406, 270, 314, 378
The list of prime factors of all numbers are
Prime factors of 406 are 2 x 7 x 29
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 314 are 2 x 157
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 406, 270, 314, 378 is 2.
Given numbers are 406, 270, 314, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(406, 270) = 54810
GCD(406, 270) = ( 406 x 270 ) / 54810
= 406 / 270
= 406
Step2:
LCM(2, 314) = 314
GCD(2, 314) = ( 2 x 314 ) / 314
= 2 / 314
= 2
Step3:
LCM(2, 378) = 378
GCD(2, 378) = ( 2 x 378 ) / 378
= 2 / 378
= 2
So, Greatest Common Divisor of 406, 270, 314, 378 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 406, 270, 314, 378
The greatest common divisor of numbers 406, 270, 314, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 406, 270, 314, 378 is 2.
1. What is the GCD of 406, 270, 314, 378?
GCD of given numbers 406, 270, 314, 378 is 2
2. How to calculate the greatest common divisor of 406, 270, 314, 378?
We can find the highest common divisor of 406, 270, 314, 378 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 406, 270, 314, 378 i.e 2.
3. How can I use the GCD of 406, 270, 314, 378Calculator?
Out the numbers 406, 270, 314, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.