Online GCD Calculator is useful to find the GCD of 747, 252, 105, 915 quickly. Get the easiest ways to solve the greatest common divisor of 747, 252, 105, 915 i.e 3 in different methods as follows.
Given Input numbers are 747, 252, 105, 915
In the factoring method, we have to find the divisors of all numbers
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 915 :
The positive integer divisors of 915 that completely divides 915 are.
1, 3, 5, 15, 61, 183, 305, 915
GCD of numbers is the greatest common divisor
So, the GCD (747, 252, 105, 915) = 3.
Given numbers are 747, 252, 105, 915
The list of prime factors of all numbers are
Prime factors of 747 are 3 x 3 x 83
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 105 are 3 x 5 x 7
Prime factors of 915 are 3 x 5 x 61
The highest common occurrence is 31
Therefore, GCD of 747, 252, 105, 915 is 3.
Given numbers are 747, 252, 105, 915
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(747, 252) = 20916
GCD(747, 252) = ( 747 x 252 ) / 20916
= 747 / 252
= 747
Step2:
LCM(9, 105) = 315
GCD(9, 105) = ( 9 x 105 ) / 315
= 9 / 105
= 9
Step3:
LCM(3, 915) = 915
GCD(3, 915) = ( 3 x 915 ) / 915
= 3 / 915
= 3
So, Greatest Common Divisor of 747, 252, 105, 915 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 747, 252, 105, 915
The greatest common divisor of numbers 747, 252, 105, 915 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 252, 105, 915 is 3.
1. What is the GCD of 747, 252, 105, 915?
GCD of given numbers 747, 252, 105, 915 is 3
2. How to calculate the greatest common divisor of 747, 252, 105, 915?
We can find the highest common divisor of 747, 252, 105, 915 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 747, 252, 105, 915 i.e 3.
3. How can I use the GCD of 747, 252, 105, 915Calculator?
Out the numbers 747, 252, 105, 915 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.