Online GCD Calculator is useful to find the GCD of 278, 386, 18, 552 quickly. Get the easiest ways to solve the greatest common divisor of 278, 386, 18, 552 i.e 2 in different methods as follows.
Given Input numbers are 278, 386, 18, 552
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 386 :
The positive integer divisors of 386 that completely divides 386 are.
1, 2, 193, 386
Divisors of 18 :
The positive integer divisors of 18 that completely divides 18 are.
1, 2, 3, 6, 9, 18
Divisors of 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
GCD of numbers is the greatest common divisor
So, the GCD (278, 386, 18, 552) = 2.
Given numbers are 278, 386, 18, 552
The list of prime factors of all numbers are
Prime factors of 278 are 2 x 139
Prime factors of 386 are 2 x 193
Prime factors of 18 are 2 x 3 x 3
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 278, 386, 18, 552 is 2.
Given numbers are 278, 386, 18, 552
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(278, 386) = 53654
GCD(278, 386) = ( 278 x 386 ) / 53654
= 278 / 386
= 278
Step2:
LCM(2, 18) = 18
GCD(2, 18) = ( 2 x 18 ) / 18
= 2 / 18
= 2
Step3:
LCM(2, 552) = 552
GCD(2, 552) = ( 2 x 552 ) / 552
= 2 / 552
= 2
So, Greatest Common Divisor of 278, 386, 18, 552 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 278, 386, 18, 552
The greatest common divisor of numbers 278, 386, 18, 552 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 278, 386, 18, 552 is 2.
1. What is the GCD of 278, 386, 18, 552?
GCD of given numbers 278, 386, 18, 552 is 2
2. How to calculate the greatest common divisor of 278, 386, 18, 552?
We can find the highest common divisor of 278, 386, 18, 552 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, 386, 18, 552 i.e 2.
3. How can I use the GCD of 278, 386, 18, 552Calculator?
Out the numbers 278, 386, 18, 552 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.