Online GCD Calculator is useful to find the GCD of 988, 150, 144, 976 quickly. Get the easiest ways to solve the greatest common divisor of 988, 150, 144, 976 i.e 2 in different methods as follows.
Given Input numbers are 988, 150, 144, 976
In the factoring method, we have to find the divisors of all numbers
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
GCD of numbers is the greatest common divisor
So, the GCD (988, 150, 144, 976) = 2.
Given numbers are 988, 150, 144, 976
The list of prime factors of all numbers are
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
The highest common occurrence is 21
Therefore, GCD of 988, 150, 144, 976 is 2.
Given numbers are 988, 150, 144, 976
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(988, 150) = 74100
GCD(988, 150) = ( 988 x 150 ) / 74100
= 988 / 150
= 988
Step2:
LCM(2, 144) = 144
GCD(2, 144) = ( 2 x 144 ) / 144
= 2 / 144
= 2
Step3:
LCM(2, 976) = 976
GCD(2, 976) = ( 2 x 976 ) / 976
= 2 / 976
= 2
So, Greatest Common Divisor of 988, 150, 144, 976 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 988, 150, 144, 976
The greatest common divisor of numbers 988, 150, 144, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 150, 144, 976 is 2.
1. What is the GCD of 988, 150, 144, 976?
GCD of given numbers 988, 150, 144, 976 is 2
2. How to calculate the greatest common divisor of 988, 150, 144, 976?
We can find the highest common divisor of 988, 150, 144, 976 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 988, 150, 144, 976 i.e 2.
3. How can I use the GCD of 988, 150, 144, 976Calculator?
Out the numbers 988, 150, 144, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.