Online GCD Calculator is useful to find the GCD of 432, 232, 700, 570 quickly. Get the easiest ways to solve the greatest common divisor of 432, 232, 700, 570 i.e 2 in different methods as follows.
Given Input numbers are 432, 232, 700, 570
In the factoring method, we have to find the divisors of all numbers
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 232 :
The positive integer divisors of 232 that completely divides 232 are.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 570 :
The positive integer divisors of 570 that completely divides 570 are.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
GCD of numbers is the greatest common divisor
So, the GCD (432, 232, 700, 570) = 2.
Given numbers are 432, 232, 700, 570
The list of prime factors of all numbers are
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 232 are 2 x 2 x 2 x 29
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 570 are 2 x 3 x 5 x 19
The highest common occurrence is 21
Therefore, GCD of 432, 232, 700, 570 is 2.
Given numbers are 432, 232, 700, 570
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 232) = 12528
GCD(432, 232) = ( 432 x 232 ) / 12528
= 432 / 232
= 432
Step2:
LCM(8, 700) = 1400
GCD(8, 700) = ( 8 x 700 ) / 1400
= 8 / 700
= 8
Step3:
LCM(4, 570) = 1140
GCD(4, 570) = ( 4 x 570 ) / 1140
= 4 / 570
= 4
So, Greatest Common Divisor of 432, 232, 700, 570 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 232, 700, 570
The greatest common divisor of numbers 432, 232, 700, 570 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 232, 700, 570 is 2.
1. What is the GCD of 432, 232, 700, 570?
GCD of given numbers 432, 232, 700, 570 is 2
2. How to calculate the greatest common divisor of 432, 232, 700, 570?
We can find the highest common divisor of 432, 232, 700, 570 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 432, 232, 700, 570 i.e 2.
3. How can I use the GCD of 432, 232, 700, 570Calculator?
Out the numbers 432, 232, 700, 570 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.