Online GCD Calculator is useful to find the GCD of 736, 718, 456, 872 quickly. Get the easiest ways to solve the greatest common divisor of 736, 718, 456, 872 i.e 2 in different methods as follows.
Given Input numbers are 736, 718, 456, 872
In the factoring method, we have to find the divisors of all numbers
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
GCD of numbers is the greatest common divisor
So, the GCD (736, 718, 456, 872) = 2.
Given numbers are 736, 718, 456, 872
The list of prime factors of all numbers are
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
Prime factors of 718 are 2 x 359
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 872 are 2 x 2 x 2 x 109
The highest common occurrence is 21
Therefore, GCD of 736, 718, 456, 872 is 2.
Given numbers are 736, 718, 456, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(736, 718) = 264224
GCD(736, 718) = ( 736 x 718 ) / 264224
= 736 / 718
= 736
Step2:
LCM(2, 456) = 456
GCD(2, 456) = ( 2 x 456 ) / 456
= 2 / 456
= 2
Step3:
LCM(2, 872) = 872
GCD(2, 872) = ( 2 x 872 ) / 872
= 2 / 872
= 2
So, Greatest Common Divisor of 736, 718, 456, 872 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 736, 718, 456, 872
The greatest common divisor of numbers 736, 718, 456, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 718, 456, 872 is 2.
1. What is the GCD of 736, 718, 456, 872?
GCD of given numbers 736, 718, 456, 872 is 2
2. How to calculate the greatest common divisor of 736, 718, 456, 872?
We can find the highest common divisor of 736, 718, 456, 872 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 736, 718, 456, 872 i.e 2.
3. How can I use the GCD of 736, 718, 456, 872Calculator?
Out the numbers 736, 718, 456, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.