Online GCD Calculator is useful to find the GCD of 448, 644, 502, 984 quickly. Get the easiest ways to solve the greatest common divisor of 448, 644, 502, 984 i.e 2 in different methods as follows.
Given Input numbers are 448, 644, 502, 984
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 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 502 :
The positive integer divisors of 502 that completely divides 502 are.
1, 2, 251, 502
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
GCD of numbers is the greatest common divisor
So, the GCD (448, 644, 502, 984) = 2.
Given numbers are 448, 644, 502, 984
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 644 are 2 x 2 x 7 x 23
Prime factors of 502 are 2 x 251
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
The highest common occurrence is 21
Therefore, GCD of 448, 644, 502, 984 is 2.
Given numbers are 448, 644, 502, 984
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(448, 644) = 10304
GCD(448, 644) = ( 448 x 644 ) / 10304
= 448 / 644
= 448
Step2:
LCM(28, 502) = 7028
GCD(28, 502) = ( 28 x 502 ) / 7028
= 28 / 502
= 28
Step3:
LCM(2, 984) = 984
GCD(2, 984) = ( 2 x 984 ) / 984
= 2 / 984
= 2
So, Greatest Common Divisor of 448, 644, 502, 984 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 448, 644, 502, 984
The greatest common divisor of numbers 448, 644, 502, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 644, 502, 984 is 2.
1. What is the GCD of 448, 644, 502, 984?
GCD of given numbers 448, 644, 502, 984 is 2
2. How to calculate the greatest common divisor of 448, 644, 502, 984?
We can find the highest common divisor of 448, 644, 502, 984 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, 644, 502, 984 i.e 2.
3. How can I use the GCD of 448, 644, 502, 984Calculator?
Out the numbers 448, 644, 502, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.