Online GCD Calculator is useful to find the GCD of 748, 572, 798, 788 quickly. Get the easiest ways to solve the greatest common divisor of 748, 572, 798, 788 i.e 2 in different methods as follows.
Given Input numbers are 748, 572, 798, 788
In the factoring method, we have to find the divisors of all numbers
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 572 :
The positive integer divisors of 572 that completely divides 572 are.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
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 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
GCD of numbers is the greatest common divisor
So, the GCD (748, 572, 798, 788) = 2.
Given numbers are 748, 572, 798, 788
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 572 are 2 x 2 x 11 x 13
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 788 are 2 x 2 x 197
The highest common occurrence is 21
Therefore, GCD of 748, 572, 798, 788 is 2.
Given numbers are 748, 572, 798, 788
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 572) = 9724
GCD(748, 572) = ( 748 x 572 ) / 9724
= 748 / 572
= 748
Step2:
LCM(44, 798) = 17556
GCD(44, 798) = ( 44 x 798 ) / 17556
= 44 / 798
= 44
Step3:
LCM(2, 788) = 788
GCD(2, 788) = ( 2 x 788 ) / 788
= 2 / 788
= 2
So, Greatest Common Divisor of 748, 572, 798, 788 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 572, 798, 788
The greatest common divisor of numbers 748, 572, 798, 788 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 572, 798, 788 is 2.
1. What is the GCD of 748, 572, 798, 788?
GCD of given numbers 748, 572, 798, 788 is 2
2. How to calculate the greatest common divisor of 748, 572, 798, 788?
We can find the highest common divisor of 748, 572, 798, 788 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 748, 572, 798, 788 i.e 2.
3. How can I use the GCD of 748, 572, 798, 788Calculator?
Out the numbers 748, 572, 798, 788 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.