Online GCD Calculator is useful to find the GCD of 114, 252, 898, 270 quickly. Get the easiest ways to solve the greatest common divisor of 114, 252, 898, 270 i.e 2 in different methods as follows.
Given Input numbers are 114, 252, 898, 270
In the factoring method, we have to find the divisors of all numbers
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
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
GCD of numbers is the greatest common divisor
So, the GCD (114, 252, 898, 270) = 2.
Given numbers are 114, 252, 898, 270
The list of prime factors of all numbers are
Prime factors of 114 are 2 x 3 x 19
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 898 are 2 x 449
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 114, 252, 898, 270 is 2.
Given numbers are 114, 252, 898, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(114, 252) = 4788
GCD(114, 252) = ( 114 x 252 ) / 4788
= 114 / 252
= 114
Step2:
LCM(6, 898) = 2694
GCD(6, 898) = ( 6 x 898 ) / 2694
= 6 / 898
= 6
Step3:
LCM(2, 270) = 270
GCD(2, 270) = ( 2 x 270 ) / 270
= 2 / 270
= 2
So, Greatest Common Divisor of 114, 252, 898, 270 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 114, 252, 898, 270
The greatest common divisor of numbers 114, 252, 898, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 252, 898, 270 is 2.
1. What is the GCD of 114, 252, 898, 270?
GCD of given numbers 114, 252, 898, 270 is 2
2. How to calculate the greatest common divisor of 114, 252, 898, 270?
We can find the highest common divisor of 114, 252, 898, 270 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 114, 252, 898, 270 i.e 2.
3. How can I use the GCD of 114, 252, 898, 270Calculator?
Out the numbers 114, 252, 898, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.