Online GCD Calculator is useful to find the GCD of 176, 448, 428, 688 quickly. Get the easiest ways to solve the greatest common divisor of 176, 448, 428, 688 i.e 4 in different methods as follows.
Given Input numbers are 176, 448, 428, 688
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 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
GCD of numbers is the greatest common divisor
So, the GCD (176, 448, 428, 688) = 4.
Given numbers are 176, 448, 428, 688
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 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 428 are 2 x 2 x 107
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
The highest common occurrence is 22
Therefore, GCD of 176, 448, 428, 688 is 4.
Given numbers are 176, 448, 428, 688
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(176, 448) = 4928
GCD(176, 448) = ( 176 x 448 ) / 4928
= 176 / 448
= 176
Step2:
LCM(16, 428) = 1712
GCD(16, 428) = ( 16 x 428 ) / 1712
= 16 / 428
= 16
Step3:
LCM(4, 688) = 688
GCD(4, 688) = ( 4 x 688 ) / 688
= 4 / 688
= 4
So, Greatest Common Divisor of 176, 448, 428, 688 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 176, 448, 428, 688
The greatest common divisor of numbers 176, 448, 428, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 176, 448, 428, 688 is 4.
1. What is the GCD of 176, 448, 428, 688?
GCD of given numbers 176, 448, 428, 688 is 4
2. How to calculate the greatest common divisor of 176, 448, 428, 688?
We can find the highest common divisor of 176, 448, 428, 688 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, 448, 428, 688 i.e 4.
3. How can I use the GCD of 176, 448, 428, 688Calculator?
Out the numbers 176, 448, 428, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.