Online GCD Calculator is useful to find the GCD of 525, 810, 126, 789 quickly. Get the easiest ways to solve the greatest common divisor of 525, 810, 126, 789 i.e 3 in different methods as follows.
Given Input numbers are 525, 810, 126, 789
In the factoring method, we have to find the divisors of all numbers
Divisors of 525 :
The positive integer divisors of 525 that completely divides 525 are.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 810 :
The positive integer divisors of 810 that completely divides 810 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
GCD of numbers is the greatest common divisor
So, the GCD (525, 810, 126, 789) = 3.
Given numbers are 525, 810, 126, 789
The list of prime factors of all numbers are
Prime factors of 525 are 3 x 5 x 5 x 7
Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 789 are 3 x 263
The highest common occurrence is 31
Therefore, GCD of 525, 810, 126, 789 is 3.
Given numbers are 525, 810, 126, 789
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(525, 810) = 28350
GCD(525, 810) = ( 525 x 810 ) / 28350
= 525 / 810
= 525
Step2:
LCM(15, 126) = 630
GCD(15, 126) = ( 15 x 126 ) / 630
= 15 / 126
= 15
Step3:
LCM(3, 789) = 789
GCD(3, 789) = ( 3 x 789 ) / 789
= 3 / 789
= 3
So, Greatest Common Divisor of 525, 810, 126, 789 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 525, 810, 126, 789
The greatest common divisor of numbers 525, 810, 126, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 525, 810, 126, 789 is 3.
1. What is the GCD of 525, 810, 126, 789?
GCD of given numbers 525, 810, 126, 789 is 3
2. How to calculate the greatest common divisor of 525, 810, 126, 789?
We can find the highest common divisor of 525, 810, 126, 789 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 525, 810, 126, 789 i.e 3.
3. How can I use the GCD of 525, 810, 126, 789Calculator?
Out the numbers 525, 810, 126, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.