Online GCD Calculator is useful to find the GCD of 988, 272, 130, 584 quickly. Get the easiest ways to solve the greatest common divisor of 988, 272, 130, 584 i.e 2 in different methods as follows.
Given Input numbers are 988, 272, 130, 584
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 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
GCD of numbers is the greatest common divisor
So, the GCD (988, 272, 130, 584) = 2.
Given numbers are 988, 272, 130, 584
The list of prime factors of all numbers are
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 130 are 2 x 5 x 13
Prime factors of 584 are 2 x 2 x 2 x 73
The highest common occurrence is 21
Therefore, GCD of 988, 272, 130, 584 is 2.
Given numbers are 988, 272, 130, 584
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(988, 272) = 67184
GCD(988, 272) = ( 988 x 272 ) / 67184
= 988 / 272
= 988
Step2:
LCM(4, 130) = 260
GCD(4, 130) = ( 4 x 130 ) / 260
= 4 / 130
= 4
Step3:
LCM(2, 584) = 584
GCD(2, 584) = ( 2 x 584 ) / 584
= 2 / 584
= 2
So, Greatest Common Divisor of 988, 272, 130, 584 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 988, 272, 130, 584
The greatest common divisor of numbers 988, 272, 130, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 272, 130, 584 is 2.
1. What is the GCD of 988, 272, 130, 584?
GCD of given numbers 988, 272, 130, 584 is 2
2. How to calculate the greatest common divisor of 988, 272, 130, 584?
We can find the highest common divisor of 988, 272, 130, 584 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, 272, 130, 584 i.e 2.
3. How can I use the GCD of 988, 272, 130, 584Calculator?
Out the numbers 988, 272, 130, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.