Online GCD Calculator is useful to find the GCD of 738, 760, 112, 382 quickly. Get the easiest ways to solve the greatest common divisor of 738, 760, 112, 382 i.e 2 in different methods as follows.
Given Input numbers are 738, 760, 112, 382
In the factoring method, we have to find the divisors of all numbers
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
GCD of numbers is the greatest common divisor
So, the GCD (738, 760, 112, 382) = 2.
Given numbers are 738, 760, 112, 382
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 382 are 2 x 191
The highest common occurrence is 21
Therefore, GCD of 738, 760, 112, 382 is 2.
Given numbers are 738, 760, 112, 382
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 760) = 280440
GCD(738, 760) = ( 738 x 760 ) / 280440
= 738 / 760
= 738
Step2:
LCM(2, 112) = 112
GCD(2, 112) = ( 2 x 112 ) / 112
= 2 / 112
= 2
Step3:
LCM(2, 382) = 382
GCD(2, 382) = ( 2 x 382 ) / 382
= 2 / 382
= 2
So, Greatest Common Divisor of 738, 760, 112, 382 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 760, 112, 382
The greatest common divisor of numbers 738, 760, 112, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 760, 112, 382 is 2.
1. What is the GCD of 738, 760, 112, 382?
GCD of given numbers 738, 760, 112, 382 is 2
2. How to calculate the greatest common divisor of 738, 760, 112, 382?
We can find the highest common divisor of 738, 760, 112, 382 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 738, 760, 112, 382 i.e 2.
3. How can I use the GCD of 738, 760, 112, 382Calculator?
Out the numbers 738, 760, 112, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.