Online GCD Calculator is useful to find the GCD of 912, 624, 834, 852 quickly. Get the easiest ways to solve the greatest common divisor of 912, 624, 834, 852 i.e 6 in different methods as follows.
Given Input numbers are 912, 624, 834, 852
In the factoring method, we have to find the divisors of all numbers
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
GCD of numbers is the greatest common divisor
So, the GCD (912, 624, 834, 852) = 6.
Given numbers are 912, 624, 834, 852
The list of prime factors of all numbers are
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 834 are 2 x 3 x 139
Prime factors of 852 are 2 x 2 x 3 x 71
The highest common occurrence is 21 x 31
Therefore, GCD of 912, 624, 834, 852 is 6.
Given numbers are 912, 624, 834, 852
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(912, 624) = 11856
GCD(912, 624) = ( 912 x 624 ) / 11856
= 912 / 624
= 912
Step2:
LCM(48, 834) = 6672
GCD(48, 834) = ( 48 x 834 ) / 6672
= 48 / 834
= 48
Step3:
LCM(6, 852) = 852
GCD(6, 852) = ( 6 x 852 ) / 852
= 6 / 852
= 6
So, Greatest Common Divisor of 912, 624, 834, 852 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 912, 624, 834, 852
The greatest common divisor of numbers 912, 624, 834, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 912, 624, 834, 852 is 6.
1. What is the GCD of 912, 624, 834, 852?
GCD of given numbers 912, 624, 834, 852 is 6
2. How to calculate the greatest common divisor of 912, 624, 834, 852?
We can find the highest common divisor of 912, 624, 834, 852 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 912, 624, 834, 852 i.e 6.
3. How can I use the GCD of 912, 624, 834, 852Calculator?
Out the numbers 912, 624, 834, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.