Online GCD Calculator is useful to find the GCD of 298, 172, 360, 556 quickly. Get the easiest ways to solve the greatest common divisor of 298, 172, 360, 556 i.e 2 in different methods as follows.
Given Input numbers are 298, 172, 360, 556
In the factoring method, we have to find the divisors of all numbers
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 556 :
The positive integer divisors of 556 that completely divides 556 are.
1, 2, 4, 139, 278, 556
GCD of numbers is the greatest common divisor
So, the GCD (298, 172, 360, 556) = 2.
Given numbers are 298, 172, 360, 556
The list of prime factors of all numbers are
Prime factors of 298 are 2 x 149
Prime factors of 172 are 2 x 2 x 43
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 556 are 2 x 2 x 139
The highest common occurrence is 21
Therefore, GCD of 298, 172, 360, 556 is 2.
Given numbers are 298, 172, 360, 556
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(298, 172) = 25628
GCD(298, 172) = ( 298 x 172 ) / 25628
= 298 / 172
= 298
Step2:
LCM(2, 360) = 360
GCD(2, 360) = ( 2 x 360 ) / 360
= 2 / 360
= 2
Step3:
LCM(2, 556) = 556
GCD(2, 556) = ( 2 x 556 ) / 556
= 2 / 556
= 2
So, Greatest Common Divisor of 298, 172, 360, 556 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 298, 172, 360, 556
The greatest common divisor of numbers 298, 172, 360, 556 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 172, 360, 556 is 2.
1. What is the GCD of 298, 172, 360, 556?
GCD of given numbers 298, 172, 360, 556 is 2
2. How to calculate the greatest common divisor of 298, 172, 360, 556?
We can find the highest common divisor of 298, 172, 360, 556 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 298, 172, 360, 556 i.e 2.
3. How can I use the GCD of 298, 172, 360, 556Calculator?
Out the numbers 298, 172, 360, 556 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.