Online GCD Calculator is useful to find the GCD of 432, 250, 725, 100 quickly. Get the easiest ways to solve the greatest common divisor of 432, 250, 725, 100 i.e 1 in different methods as follows.
Given Input numbers are 432, 250, 725, 100
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 250 :
The positive integer divisors of 250 that completely divides 250 are.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD of numbers is the greatest common divisor
So, the GCD (432, 250, 725, 100) = 1.
Given numbers are 432, 250, 725, 100
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 250 are 2 x 5 x 5 x 5
Prime factors of 725 are 5 x 5 x 29
Prime factors of 100 are 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 432, 250, 725, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 250) = 54000
GCD(432, 250) = ( 432 x 250 ) / 54000
= 432 / 250
= 432
Step2:
LCM(2, 725) = 1450
GCD(2, 725) = ( 2 x 725 ) / 1450
= 2 / 725
= 2
Step3:
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
= 1 / 100
= 1
So, Greatest Common Divisor of 432, 250, 725, 100 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 250, 725, 100
The greatest common divisor of numbers 432, 250, 725, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 250, 725, 100 is 1.
1. What is the GCD of 432, 250, 725, 100?
GCD of given numbers 432, 250, 725, 100 is 1
2. How to calculate the greatest common divisor of 432, 250, 725, 100?
We can find the highest common divisor of 432, 250, 725, 100 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, 250, 725, 100 i.e 1.
3. How can I use the GCD of 432, 250, 725, 100Calculator?
Out the numbers 432, 250, 725, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.