Online GCD Calculator is useful to find the GCD of 924, 126, 728, 752 quickly. Get the easiest ways to solve the greatest common divisor of 924, 126, 728, 752 i.e 2 in different methods as follows.
Given Input numbers are 924, 126, 728, 752
In the factoring method, we have to find the divisors of all numbers
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
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 (924, 126, 728, 752) = 2.
Given numbers are 924, 126, 728, 752
The list of prime factors of all numbers are
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
The highest common occurrence is 21
Therefore, GCD of 924, 126, 728, 752 is 2.
Given numbers are 924, 126, 728, 752
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(924, 126) = 2772
GCD(924, 126) = ( 924 x 126 ) / 2772
= 924 / 126
= 924
Step2:
LCM(42, 728) = 2184
GCD(42, 728) = ( 42 x 728 ) / 2184
= 42 / 728
= 42
Step3:
LCM(14, 752) = 5264
GCD(14, 752) = ( 14 x 752 ) / 5264
= 14 / 752
= 14
So, Greatest Common Divisor of 924, 126, 728, 752 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 924, 126, 728, 752
The greatest common divisor of numbers 924, 126, 728, 752 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 126, 728, 752 is 2.
1. What is the GCD of 924, 126, 728, 752?
GCD of given numbers 924, 126, 728, 752 is 2
2. How to calculate the greatest common divisor of 924, 126, 728, 752?
We can find the highest common divisor of 924, 126, 728, 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 924, 126, 728, 752 i.e 2.
3. How can I use the GCD of 924, 126, 728, 752Calculator?
Out the numbers 924, 126, 728, 752 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.