Online GCD Calculator is useful to find the GCD of 924, 744, 126, 477 quickly. Get the easiest ways to solve the greatest common divisor of 924, 744, 126, 477 i.e 3 in different methods as follows.
Given Input numbers are 924, 744, 126, 477
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 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
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 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
GCD of numbers is the greatest common divisor
So, the GCD (924, 744, 126, 477) = 3.
Given numbers are 924, 744, 126, 477
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 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 477 are 3 x 3 x 53
The highest common occurrence is 31
Therefore, GCD of 924, 744, 126, 477 is 3.
Given numbers are 924, 744, 126, 477
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(924, 744) = 57288
GCD(924, 744) = ( 924 x 744 ) / 57288
= 924 / 744
= 924
Step2:
LCM(12, 126) = 252
GCD(12, 126) = ( 12 x 126 ) / 252
= 12 / 126
= 12
Step3:
LCM(6, 477) = 954
GCD(6, 477) = ( 6 x 477 ) / 954
= 6 / 477
= 6
So, Greatest Common Divisor of 924, 744, 126, 477 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 924, 744, 126, 477
The greatest common divisor of numbers 924, 744, 126, 477 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 744, 126, 477 is 3.
1. What is the GCD of 924, 744, 126, 477?
GCD of given numbers 924, 744, 126, 477 is 3
2. How to calculate the greatest common divisor of 924, 744, 126, 477?
We can find the highest common divisor of 924, 744, 126, 477 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, 744, 126, 477 i.e 3.
3. How can I use the GCD of 924, 744, 126, 477Calculator?
Out the numbers 924, 744, 126, 477 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.