Online GCD Calculator is useful to find the GCD of 684, 592, 368, 948 quickly. Get the easiest ways to solve the greatest common divisor of 684, 592, 368, 948 i.e 4 in different methods as follows.
Given Input numbers are 684, 592, 368, 948
In the factoring method, we have to find the divisors of all numbers
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 592 :
The positive integer divisors of 592 that completely divides 592 are.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
GCD of numbers is the greatest common divisor
So, the GCD (684, 592, 368, 948) = 4.
Given numbers are 684, 592, 368, 948
The list of prime factors of all numbers are
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 592 are 2 x 2 x 2 x 2 x 37
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 948 are 2 x 2 x 3 x 79
The highest common occurrence is 22
Therefore, GCD of 684, 592, 368, 948 is 4.
Given numbers are 684, 592, 368, 948
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 592) = 101232
GCD(684, 592) = ( 684 x 592 ) / 101232
= 684 / 592
= 684
Step2:
LCM(4, 368) = 368
GCD(4, 368) = ( 4 x 368 ) / 368
= 4 / 368
= 4
Step3:
LCM(4, 948) = 948
GCD(4, 948) = ( 4 x 948 ) / 948
= 4 / 948
= 4
So, Greatest Common Divisor of 684, 592, 368, 948 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 592, 368, 948
The greatest common divisor of numbers 684, 592, 368, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 592, 368, 948 is 4.
1. What is the GCD of 684, 592, 368, 948?
GCD of given numbers 684, 592, 368, 948 is 4
2. How to calculate the greatest common divisor of 684, 592, 368, 948?
We can find the highest common divisor of 684, 592, 368, 948 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 684, 592, 368, 948 i.e 4.
3. How can I use the GCD of 684, 592, 368, 948Calculator?
Out the numbers 684, 592, 368, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.