Online GCD Calculator is useful to find the GCD of 832, 224, 884, 616 quickly. Get the easiest ways to solve the greatest common divisor of 832, 224, 884, 616 i.e 4 in different methods as follows.
Given Input numbers are 832, 224, 884, 616
In the factoring method, we have to find the divisors of all numbers
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
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 884 :
The positive integer divisors of 884 that completely divides 884 are.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
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
GCD of numbers is the greatest common divisor
So, the GCD (832, 224, 884, 616) = 4.
Given numbers are 832, 224, 884, 616
The list of prime factors of all numbers are
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 884 are 2 x 2 x 13 x 17
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
The highest common occurrence is 22
Therefore, GCD of 832, 224, 884, 616 is 4.
Given numbers are 832, 224, 884, 616
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(832, 224) = 5824
GCD(832, 224) = ( 832 x 224 ) / 5824
= 832 / 224
= 832
Step2:
LCM(32, 884) = 7072
GCD(32, 884) = ( 32 x 884 ) / 7072
= 32 / 884
= 32
Step3:
LCM(4, 616) = 616
GCD(4, 616) = ( 4 x 616 ) / 616
= 4 / 616
= 4
So, Greatest Common Divisor of 832, 224, 884, 616 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 832, 224, 884, 616
The greatest common divisor of numbers 832, 224, 884, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 832, 224, 884, 616 is 4.
1. What is the GCD of 832, 224, 884, 616?
GCD of given numbers 832, 224, 884, 616 is 4
2. How to calculate the greatest common divisor of 832, 224, 884, 616?
We can find the highest common divisor of 832, 224, 884, 616 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 832, 224, 884, 616 i.e 4.
3. How can I use the GCD of 832, 224, 884, 616Calculator?
Out the numbers 832, 224, 884, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.