Online GCD Calculator is useful to find the GCD of 769, 500, 432, 825 quickly. Get the easiest ways to solve the greatest common divisor of 769, 500, 432, 825 i.e 1 in different methods as follows.
Given Input numbers are 769, 500, 432, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 769 :
The positive integer divisors of 769 that completely divides 769 are.
1, 769
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
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 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
GCD of numbers is the greatest common divisor
So, the GCD (769, 500, 432, 825) = 1.
Given numbers are 769, 500, 432, 825
The list of prime factors of all numbers are
Prime factors of 769 are 769
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 825 are 3 x 5 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 769, 500, 432, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(769, 500) = 384500
GCD(769, 500) = ( 769 x 500 ) / 384500
= 769 / 500
= 769
Step2:
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
= 1 / 432
= 1
Step3:
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
= 1 / 825
= 1
So, Greatest Common Divisor of 769, 500, 432, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 769, 500, 432, 825
The greatest common divisor of numbers 769, 500, 432, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 769, 500, 432, 825 is 1.
1. What is the GCD of 769, 500, 432, 825?
GCD of given numbers 769, 500, 432, 825 is 1
2. How to calculate the greatest common divisor of 769, 500, 432, 825?
We can find the highest common divisor of 769, 500, 432, 825 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 769, 500, 432, 825 i.e 1.
3. How can I use the GCD of 769, 500, 432, 825Calculator?
Out the numbers 769, 500, 432, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.