Online GCD Calculator is useful to find the GCD of 598, 476, 228, 182 quickly. Get the easiest ways to solve the greatest common divisor of 598, 476, 228, 182 i.e 2 in different methods as follows.
Given Input numbers are 598, 476, 228, 182
In the factoring method, we have to find the divisors of all numbers
Divisors of 598 :
The positive integer divisors of 598 that completely divides 598 are.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
GCD of numbers is the greatest common divisor
So, the GCD (598, 476, 228, 182) = 2.
Given numbers are 598, 476, 228, 182
The list of prime factors of all numbers are
Prime factors of 598 are 2 x 13 x 23
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 182 are 2 x 7 x 13
The highest common occurrence is 21
Therefore, GCD of 598, 476, 228, 182 is 2.
Given numbers are 598, 476, 228, 182
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(598, 476) = 142324
GCD(598, 476) = ( 598 x 476 ) / 142324
= 598 / 476
= 598
Step2:
LCM(2, 228) = 228
GCD(2, 228) = ( 2 x 228 ) / 228
= 2 / 228
= 2
Step3:
LCM(2, 182) = 182
GCD(2, 182) = ( 2 x 182 ) / 182
= 2 / 182
= 2
So, Greatest Common Divisor of 598, 476, 228, 182 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 598, 476, 228, 182
The greatest common divisor of numbers 598, 476, 228, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 598, 476, 228, 182 is 2.
1. What is the GCD of 598, 476, 228, 182?
GCD of given numbers 598, 476, 228, 182 is 2
2. How to calculate the greatest common divisor of 598, 476, 228, 182?
We can find the highest common divisor of 598, 476, 228, 182 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 598, 476, 228, 182 i.e 2.
3. How can I use the GCD of 598, 476, 228, 182Calculator?
Out the numbers 598, 476, 228, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.