Online GCD Calculator is useful to find the GCD of 232, 744, 472, 350 quickly. Get the easiest ways to solve the greatest common divisor of 232, 744, 472, 350 i.e 2 in different methods as follows.
Given Input numbers are 232, 744, 472, 350
In the factoring method, we have to find the divisors of all numbers
Divisors of 232 :
The positive integer divisors of 232 that completely divides 232 are.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
GCD of numbers is the greatest common divisor
So, the GCD (232, 744, 472, 350) = 2.
Given numbers are 232, 744, 472, 350
The list of prime factors of all numbers are
Prime factors of 232 are 2 x 2 x 2 x 29
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 350 are 2 x 5 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 232, 744, 472, 350 is 2.
Given numbers are 232, 744, 472, 350
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(232, 744) = 21576
GCD(232, 744) = ( 232 x 744 ) / 21576
= 232 / 744
= 232
Step2:
LCM(8, 472) = 472
GCD(8, 472) = ( 8 x 472 ) / 472
= 8 / 472
= 8
Step3:
LCM(8, 350) = 1400
GCD(8, 350) = ( 8 x 350 ) / 1400
= 8 / 350
= 8
So, Greatest Common Divisor of 232, 744, 472, 350 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 232, 744, 472, 350
The greatest common divisor of numbers 232, 744, 472, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 232, 744, 472, 350 is 2.
1. What is the GCD of 232, 744, 472, 350?
GCD of given numbers 232, 744, 472, 350 is 2
2. How to calculate the greatest common divisor of 232, 744, 472, 350?
We can find the highest common divisor of 232, 744, 472, 350 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 232, 744, 472, 350 i.e 2.
3. How can I use the GCD of 232, 744, 472, 350Calculator?
Out the numbers 232, 744, 472, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.