Online GCD Calculator is useful to find the GCD of 380, 214, 402, 278 quickly. Get the easiest ways to solve the greatest common divisor of 380, 214, 402, 278 i.e 2 in different methods as follows.
Given Input numbers are 380, 214, 402, 278
In the factoring method, we have to find the divisors of all numbers
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 278 :
The positive integer divisors of 278 that completely divides 278 are.
1, 2, 139, 278
GCD of numbers is the greatest common divisor
So, the GCD (380, 214, 402, 278) = 2.
Given numbers are 380, 214, 402, 278
The list of prime factors of all numbers are
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 214 are 2 x 107
Prime factors of 402 are 2 x 3 x 67
Prime factors of 278 are 2 x 139
The highest common occurrence is 21
Therefore, GCD of 380, 214, 402, 278 is 2.
Given numbers are 380, 214, 402, 278
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(380, 214) = 40660
GCD(380, 214) = ( 380 x 214 ) / 40660
= 380 / 214
= 380
Step2:
LCM(2, 402) = 402
GCD(2, 402) = ( 2 x 402 ) / 402
= 2 / 402
= 2
Step3:
LCM(2, 278) = 278
GCD(2, 278) = ( 2 x 278 ) / 278
= 2 / 278
= 2
So, Greatest Common Divisor of 380, 214, 402, 278 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 380, 214, 402, 278
The greatest common divisor of numbers 380, 214, 402, 278 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 214, 402, 278 is 2.
1. What is the GCD of 380, 214, 402, 278?
GCD of given numbers 380, 214, 402, 278 is 2
2. How to calculate the greatest common divisor of 380, 214, 402, 278?
We can find the highest common divisor of 380, 214, 402, 278 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 380, 214, 402, 278 i.e 2.
3. How can I use the GCD of 380, 214, 402, 278Calculator?
Out the numbers 380, 214, 402, 278 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.