Online GCD Calculator is useful to find the GCD of 924, 616, 532, 468 quickly. Get the easiest ways to solve the greatest common divisor of 924, 616, 532, 468 i.e 4 in different methods as follows.
Given Input numbers are 924, 616, 532, 468
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 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
GCD of numbers is the greatest common divisor
So, the GCD (924, 616, 532, 468) = 4.
Given numbers are 924, 616, 532, 468
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 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
The highest common occurrence is 22
Therefore, GCD of 924, 616, 532, 468 is 4.
Given numbers are 924, 616, 532, 468
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(924, 616) = 1848
GCD(924, 616) = ( 924 x 616 ) / 1848
= 924 / 616
= 924
Step2:
LCM(308, 532) = 5852
GCD(308, 532) = ( 308 x 532 ) / 5852
= 308 / 532
= 308
Step3:
LCM(28, 468) = 3276
GCD(28, 468) = ( 28 x 468 ) / 3276
= 28 / 468
= 28
So, Greatest Common Divisor of 924, 616, 532, 468 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 924, 616, 532, 468
The greatest common divisor of numbers 924, 616, 532, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 616, 532, 468 is 4.
1. What is the GCD of 924, 616, 532, 468?
GCD of given numbers 924, 616, 532, 468 is 4
2. How to calculate the greatest common divisor of 924, 616, 532, 468?
We can find the highest common divisor of 924, 616, 532, 468 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, 616, 532, 468 i.e 4.
3. How can I use the GCD of 924, 616, 532, 468Calculator?
Out the numbers 924, 616, 532, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.