Online GCD Calculator is useful to find the GCD of 984, 120, 140, 908 quickly. Get the easiest ways to solve the greatest common divisor of 984, 120, 140, 908 i.e 4 in different methods as follows.
Given Input numbers are 984, 120, 140, 908
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 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
GCD of numbers is the greatest common divisor
So, the GCD (984, 120, 140, 908) = 4.
Given numbers are 984, 120, 140, 908
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 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 908 are 2 x 2 x 227
The highest common occurrence is 22
Therefore, GCD of 984, 120, 140, 908 is 4.
Given numbers are 984, 120, 140, 908
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(984, 120) = 4920
GCD(984, 120) = ( 984 x 120 ) / 4920
= 984 / 120
= 984
Step2:
LCM(24, 140) = 840
GCD(24, 140) = ( 24 x 140 ) / 840
= 24 / 140
= 24
Step3:
LCM(4, 908) = 908
GCD(4, 908) = ( 4 x 908 ) / 908
= 4 / 908
= 4
So, Greatest Common Divisor of 984, 120, 140, 908 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 984, 120, 140, 908
The greatest common divisor of numbers 984, 120, 140, 908 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 120, 140, 908 is 4.
1. What is the GCD of 984, 120, 140, 908?
GCD of given numbers 984, 120, 140, 908 is 4
2. How to calculate the greatest common divisor of 984, 120, 140, 908?
We can find the highest common divisor of 984, 120, 140, 908 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, 120, 140, 908 i.e 4.
3. How can I use the GCD of 984, 120, 140, 908Calculator?
Out the numbers 984, 120, 140, 908 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.