Online GCD Calculator is useful to find the GCD of 747, 798, 108, 795 quickly. Get the easiest ways to solve the greatest common divisor of 747, 798, 108, 795 i.e 3 in different methods as follows.
Given Input numbers are 747, 798, 108, 795
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 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 795 :
The positive integer divisors of 795 that completely divides 795 are.
1, 3, 5, 15, 53, 159, 265, 795
GCD of numbers is the greatest common divisor
So, the GCD (747, 798, 108, 795) = 3.
Given numbers are 747, 798, 108, 795
The list of prime factors of all numbers are
Prime factors of 747 are 3 x 3 x 83
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 795 are 3 x 5 x 53
The highest common occurrence is 31
Therefore, GCD of 747, 798, 108, 795 is 3.
Given numbers are 747, 798, 108, 795
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(747, 798) = 198702
GCD(747, 798) = ( 747 x 798 ) / 198702
= 747 / 798
= 747
Step2:
LCM(3, 108) = 108
GCD(3, 108) = ( 3 x 108 ) / 108
= 3 / 108
= 3
Step3:
LCM(3, 795) = 795
GCD(3, 795) = ( 3 x 795 ) / 795
= 3 / 795
= 3
So, Greatest Common Divisor of 747, 798, 108, 795 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 747, 798, 108, 795
The greatest common divisor of numbers 747, 798, 108, 795 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 798, 108, 795 is 3.
1. What is the GCD of 747, 798, 108, 795?
GCD of given numbers 747, 798, 108, 795 is 3
2. How to calculate the greatest common divisor of 747, 798, 108, 795?
We can find the highest common divisor of 747, 798, 108, 795 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, 798, 108, 795 i.e 3.
3. How can I use the GCD of 747, 798, 108, 795Calculator?
Out the numbers 747, 798, 108, 795 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.