Online GCD Calculator is useful to find the GCD of 792, 525, 513, 270 quickly. Get the easiest ways to solve the greatest common divisor of 792, 525, 513, 270 i.e 3 in different methods as follows.
Given Input numbers are 792, 525, 513, 270
In the factoring method, we have to find the divisors of all numbers
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
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 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
GCD of numbers is the greatest common divisor
So, the GCD (792, 525, 513, 270) = 3.
Given numbers are 792, 525, 513, 270
The list of prime factors of all numbers are
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 525 are 3 x 5 x 5 x 7
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 792, 525, 513, 270 is 3.
Given numbers are 792, 525, 513, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(792, 525) = 138600
GCD(792, 525) = ( 792 x 525 ) / 138600
= 792 / 525
= 792
Step2:
LCM(3, 513) = 513
GCD(3, 513) = ( 3 x 513 ) / 513
= 3 / 513
= 3
Step3:
LCM(3, 270) = 270
GCD(3, 270) = ( 3 x 270 ) / 270
= 3 / 270
= 3
So, Greatest Common Divisor of 792, 525, 513, 270 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 792, 525, 513, 270
The greatest common divisor of numbers 792, 525, 513, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 525, 513, 270 is 3.
1. What is the GCD of 792, 525, 513, 270?
GCD of given numbers 792, 525, 513, 270 is 3
2. How to calculate the greatest common divisor of 792, 525, 513, 270?
We can find the highest common divisor of 792, 525, 513, 270 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 792, 525, 513, 270 i.e 3.
3. How can I use the GCD of 792, 525, 513, 270Calculator?
Out the numbers 792, 525, 513, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.