Online GCD Calculator is useful to find the GCD of 224, 312, 752 quickly. Get the easiest ways to solve the greatest common divisor of 224, 312, 752 i.e 8 in different methods as follows.
Given Input numbers are 224, 312, 752
In the factoring method, we have to find the divisors of all numbers
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
GCD of numbers is the greatest common divisor
So, the GCD (224, 312, 752) = 8.
Given numbers are 224, 312, 752
The list of prime factors of all numbers are
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
The highest common occurrence is 23
Therefore, GCD of 224, 312, 752 is 8.
Given numbers are 224, 312, 752
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(224, 312) = 8736
GCD(224, 312) = ( 224 x 312 ) / 8736
= 224 / 312
= 224
Step2:
LCM(8, 752) = 752
GCD(8, 752) = ( 8 x 752 ) / 752
= 8 / 752
= 8
So, Greatest Common Divisor of 224, 312, 752 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 224, 312, 752
The greatest common divisor of numbers 224, 312, 752 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 312, 752 is 8.
1. What is the GCD of 224, 312, 752?
GCD of given numbers 224, 312, 752 is 8
2. How to calculate the greatest common divisor of 224, 312, 752?
We can find the highest common divisor of 224, 312, 752 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 224, 312, 752 i.e 8.
3. How can I use the GCD of 224, 312, 752Calculator?
Out the numbers 224, 312, 752 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.