Online GCD Calculator is useful to find the GCD of 348, 832, 976, 288 quickly. Get the easiest ways to solve the greatest common divisor of 348, 832, 976, 288 i.e 4 in different methods as follows.
Given Input numbers are 348, 832, 976, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
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 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (348, 832, 976, 288) = 4.
Given numbers are 348, 832, 976, 288
The list of prime factors of all numbers are
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 22
Therefore, GCD of 348, 832, 976, 288 is 4.
Given numbers are 348, 832, 976, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(348, 832) = 72384
GCD(348, 832) = ( 348 x 832 ) / 72384
= 348 / 832
= 348
Step2:
LCM(4, 976) = 976
GCD(4, 976) = ( 4 x 976 ) / 976
= 4 / 976
= 4
Step3:
LCM(4, 288) = 288
GCD(4, 288) = ( 4 x 288 ) / 288
= 4 / 288
= 4
So, Greatest Common Divisor of 348, 832, 976, 288 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 348, 832, 976, 288
The greatest common divisor of numbers 348, 832, 976, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 832, 976, 288 is 4.
1. What is the GCD of 348, 832, 976, 288?
GCD of given numbers 348, 832, 976, 288 is 4
2. How to calculate the greatest common divisor of 348, 832, 976, 288?
We can find the highest common divisor of 348, 832, 976, 288 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 348, 832, 976, 288 i.e 4.
3. How can I use the GCD of 348, 832, 976, 288Calculator?
Out the numbers 348, 832, 976, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.