Online GCD Calculator is useful to find the GCD of 278, 116, 238, 143 quickly. Get the easiest ways to solve the greatest common divisor of 278, 116, 238, 143 i.e 1 in different methods as follows.
Given Input numbers are 278, 116, 238, 143
In the factoring method, we have to find the divisors of all numbers
Divisors of 278 :
The positive integer divisors of 278 that completely divides 278 are.
1, 2, 139, 278
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 143 :
The positive integer divisors of 143 that completely divides 143 are.
1, 11, 13, 143
GCD of numbers is the greatest common divisor
So, the GCD (278, 116, 238, 143) = 1.
Given numbers are 278, 116, 238, 143
The list of prime factors of all numbers are
Prime factors of 278 are 2 x 139
Prime factors of 116 are 2 x 2 x 29
Prime factors of 238 are 2 x 7 x 17
Prime factors of 143 are 11 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 278, 116, 238, 143
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(278, 116) = 16124
GCD(278, 116) = ( 278 x 116 ) / 16124
= 278 / 116
= 278
Step2:
LCM(2, 238) = 238
GCD(2, 238) = ( 2 x 238 ) / 238
= 2 / 238
= 2
Step3:
LCM(2, 143) = 286
GCD(2, 143) = ( 2 x 143 ) / 286
= 2 / 143
= 2
So, Greatest Common Divisor of 278, 116, 238, 143 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 278, 116, 238, 143
The greatest common divisor of numbers 278, 116, 238, 143 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 278, 116, 238, 143 is 1.
1. What is the GCD of 278, 116, 238, 143?
GCD of given numbers 278, 116, 238, 143 is 1
2. How to calculate the greatest common divisor of 278, 116, 238, 143?
We can find the highest common divisor of 278, 116, 238, 143 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 278, 116, 238, 143 i.e 1.
3. How can I use the GCD of 278, 116, 238, 143Calculator?
Out the numbers 278, 116, 238, 143 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.