Online GCD Calculator is useful to find the GCD of 448, 696, 428, 892 quickly. Get the easiest ways to solve the greatest common divisor of 448, 696, 428, 892 i.e 4 in different methods as follows.
Given Input numbers are 448, 696, 428, 892
In the factoring method, we have to find the divisors of all numbers
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 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
GCD of numbers is the greatest common divisor
So, the GCD (448, 696, 428, 892) = 4.
Given numbers are 448, 696, 428, 892
The list of prime factors of all numbers are
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 428 are 2 x 2 x 107
Prime factors of 892 are 2 x 2 x 223
The highest common occurrence is 22
Therefore, GCD of 448, 696, 428, 892 is 4.
Given numbers are 448, 696, 428, 892
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(448, 696) = 38976
GCD(448, 696) = ( 448 x 696 ) / 38976
= 448 / 696
= 448
Step2:
LCM(8, 428) = 856
GCD(8, 428) = ( 8 x 428 ) / 856
= 8 / 428
= 8
Step3:
LCM(4, 892) = 892
GCD(4, 892) = ( 4 x 892 ) / 892
= 4 / 892
= 4
So, Greatest Common Divisor of 448, 696, 428, 892 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 448, 696, 428, 892
The greatest common divisor of numbers 448, 696, 428, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 696, 428, 892 is 4.
1. What is the GCD of 448, 696, 428, 892?
GCD of given numbers 448, 696, 428, 892 is 4
2. How to calculate the greatest common divisor of 448, 696, 428, 892?
We can find the highest common divisor of 448, 696, 428, 892 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 448, 696, 428, 892 i.e 4.
3. How can I use the GCD of 448, 696, 428, 892Calculator?
Out the numbers 448, 696, 428, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.