Online GCD Calculator is useful to find the GCD of 176, 792, 408, 948 quickly. Get the easiest ways to solve the greatest common divisor of 176, 792, 408, 948 i.e 4 in different methods as follows.
Given Input numbers are 176, 792, 408, 948
In the factoring method, we have to find the divisors of all numbers
Divisors of 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
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 (176, 792, 408, 948) = 4.
Given numbers are 176, 792, 408, 948
The list of prime factors of all numbers are
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 948 are 2 x 2 x 3 x 79
The highest common occurrence is 22
Therefore, GCD of 176, 792, 408, 948 is 4.
Given numbers are 176, 792, 408, 948
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(176, 792) = 1584
GCD(176, 792) = ( 176 x 792 ) / 1584
= 176 / 792
= 176
Step2:
LCM(88, 408) = 4488
GCD(88, 408) = ( 88 x 408 ) / 4488
= 88 / 408
= 88
Step3:
LCM(8, 948) = 1896
GCD(8, 948) = ( 8 x 948 ) / 1896
= 8 / 948
= 8
So, Greatest Common Divisor of 176, 792, 408, 948 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 176, 792, 408, 948
The greatest common divisor of numbers 176, 792, 408, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 176, 792, 408, 948 is 4.
1. What is the GCD of 176, 792, 408, 948?
GCD of given numbers 176, 792, 408, 948 is 4
2. How to calculate the greatest common divisor of 176, 792, 408, 948?
We can find the highest common divisor of 176, 792, 408, 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 176, 792, 408, 948 i.e 4.
3. How can I use the GCD of 176, 792, 408, 948Calculator?
Out the numbers 176, 792, 408, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.