Online GCD Calculator is useful to find the GCD of 628, 704, 192, 428 quickly. Get the easiest ways to solve the greatest common divisor of 628, 704, 192, 428 i.e 4 in different methods as follows.
Given Input numbers are 628, 704, 192, 428
In the factoring method, we have to find the divisors of all numbers
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 192 :
The positive integer divisors of 192 that completely divides 192 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
GCD of numbers is the greatest common divisor
So, the GCD (628, 704, 192, 428) = 4.
Given numbers are 628, 704, 192, 428
The list of prime factors of all numbers are
Prime factors of 628 are 2 x 2 x 157
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 428 are 2 x 2 x 107
The highest common occurrence is 22
Therefore, GCD of 628, 704, 192, 428 is 4.
Given numbers are 628, 704, 192, 428
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(628, 704) = 110528
GCD(628, 704) = ( 628 x 704 ) / 110528
= 628 / 704
= 628
Step2:
LCM(4, 192) = 192
GCD(4, 192) = ( 4 x 192 ) / 192
= 4 / 192
= 4
Step3:
LCM(4, 428) = 428
GCD(4, 428) = ( 4 x 428 ) / 428
= 4 / 428
= 4
So, Greatest Common Divisor of 628, 704, 192, 428 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 628, 704, 192, 428
The greatest common divisor of numbers 628, 704, 192, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 704, 192, 428 is 4.
1. What is the GCD of 628, 704, 192, 428?
GCD of given numbers 628, 704, 192, 428 is 4
2. How to calculate the greatest common divisor of 628, 704, 192, 428?
We can find the highest common divisor of 628, 704, 192, 428 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 628, 704, 192, 428 i.e 4.
3. How can I use the GCD of 628, 704, 192, 428Calculator?
Out the numbers 628, 704, 192, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.