Online GCD Calculator is useful to find the GCD of 148, 484, 240, 916 quickly. Get the easiest ways to solve the greatest common divisor of 148, 484, 240, 916 i.e 4 in different methods as follows.
Given Input numbers are 148, 484, 240, 916
In the factoring method, we have to find the divisors of all numbers
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
GCD of numbers is the greatest common divisor
So, the GCD (148, 484, 240, 916) = 4.
Given numbers are 148, 484, 240, 916
The list of prime factors of all numbers are
Prime factors of 148 are 2 x 2 x 37
Prime factors of 484 are 2 x 2 x 11 x 11
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 916 are 2 x 2 x 229
The highest common occurrence is 22
Therefore, GCD of 148, 484, 240, 916 is 4.
Given numbers are 148, 484, 240, 916
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(148, 484) = 17908
GCD(148, 484) = ( 148 x 484 ) / 17908
= 148 / 484
= 148
Step2:
LCM(4, 240) = 240
GCD(4, 240) = ( 4 x 240 ) / 240
= 4 / 240
= 4
Step3:
LCM(4, 916) = 916
GCD(4, 916) = ( 4 x 916 ) / 916
= 4 / 916
= 4
So, Greatest Common Divisor of 148, 484, 240, 916 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 148, 484, 240, 916
The greatest common divisor of numbers 148, 484, 240, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 484, 240, 916 is 4.
1. What is the GCD of 148, 484, 240, 916?
GCD of given numbers 148, 484, 240, 916 is 4
2. How to calculate the greatest common divisor of 148, 484, 240, 916?
We can find the highest common divisor of 148, 484, 240, 916 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 148, 484, 240, 916 i.e 4.
3. How can I use the GCD of 148, 484, 240, 916Calculator?
Out the numbers 148, 484, 240, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.