Online GCD Calculator is useful to find the GCD of 228, 732, 472, 140 quickly. Get the easiest ways to solve the greatest common divisor of 228, 732, 472, 140 i.e 4 in different methods as follows.
Given Input numbers are 228, 732, 472, 140
In the factoring method, we have to find the divisors of all numbers
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 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (228, 732, 472, 140) = 4.
Given numbers are 228, 732, 472, 140
The list of prime factors of all numbers are
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 22
Therefore, GCD of 228, 732, 472, 140 is 4.
Given numbers are 228, 732, 472, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(228, 732) = 13908
GCD(228, 732) = ( 228 x 732 ) / 13908
= 228 / 732
= 228
Step2:
LCM(12, 472) = 1416
GCD(12, 472) = ( 12 x 472 ) / 1416
= 12 / 472
= 12
Step3:
LCM(4, 140) = 140
GCD(4, 140) = ( 4 x 140 ) / 140
= 4 / 140
= 4
So, Greatest Common Divisor of 228, 732, 472, 140 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 228, 732, 472, 140
The greatest common divisor of numbers 228, 732, 472, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 732, 472, 140 is 4.
1. What is the GCD of 228, 732, 472, 140?
GCD of given numbers 228, 732, 472, 140 is 4
2. How to calculate the greatest common divisor of 228, 732, 472, 140?
We can find the highest common divisor of 228, 732, 472, 140 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 228, 732, 472, 140 i.e 4.
3. How can I use the GCD of 228, 732, 472, 140Calculator?
Out the numbers 228, 732, 472, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.