Online GCD Calculator is useful to find the GCD of 984, 524, 148, 808 quickly. Get the easiest ways to solve the greatest common divisor of 984, 524, 148, 808 i.e 4 in different methods as follows.
Given Input numbers are 984, 524, 148, 808
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 808 :
The positive integer divisors of 808 that completely divides 808 are.
1, 2, 4, 8, 101, 202, 404, 808
GCD of numbers is the greatest common divisor
So, the GCD (984, 524, 148, 808) = 4.
Given numbers are 984, 524, 148, 808
The list of prime factors of all numbers are
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 524 are 2 x 2 x 131
Prime factors of 148 are 2 x 2 x 37
Prime factors of 808 are 2 x 2 x 2 x 101
The highest common occurrence is 22
Therefore, GCD of 984, 524, 148, 808 is 4.
Given numbers are 984, 524, 148, 808
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(984, 524) = 128904
GCD(984, 524) = ( 984 x 524 ) / 128904
= 984 / 524
= 984
Step2:
LCM(4, 148) = 148
GCD(4, 148) = ( 4 x 148 ) / 148
= 4 / 148
= 4
Step3:
LCM(4, 808) = 808
GCD(4, 808) = ( 4 x 808 ) / 808
= 4 / 808
= 4
So, Greatest Common Divisor of 984, 524, 148, 808 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 984, 524, 148, 808
The greatest common divisor of numbers 984, 524, 148, 808 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 524, 148, 808 is 4.
1. What is the GCD of 984, 524, 148, 808?
GCD of given numbers 984, 524, 148, 808 is 4
2. How to calculate the greatest common divisor of 984, 524, 148, 808?
We can find the highest common divisor of 984, 524, 148, 808 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 984, 524, 148, 808 i.e 4.
3. How can I use the GCD of 984, 524, 148, 808Calculator?
Out the numbers 984, 524, 148, 808 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.