Online GCD Calculator is useful to find the GCD of 508, 992, 102, 988 quickly. Get the easiest ways to solve the greatest common divisor of 508, 992, 102, 988 i.e 2 in different methods as follows.
Given Input numbers are 508, 992, 102, 988
In the factoring method, we have to find the divisors of all numbers
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 992 :
The positive integer divisors of 992 that completely divides 992 are.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
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
GCD of numbers is the greatest common divisor
So, the GCD (508, 992, 102, 988) = 2.
Given numbers are 508, 992, 102, 988
The list of prime factors of all numbers are
Prime factors of 508 are 2 x 2 x 127
Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31
Prime factors of 102 are 2 x 3 x 17
Prime factors of 988 are 2 x 2 x 13 x 19
The highest common occurrence is 21
Therefore, GCD of 508, 992, 102, 988 is 2.
Given numbers are 508, 992, 102, 988
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(508, 992) = 125984
GCD(508, 992) = ( 508 x 992 ) / 125984
= 508 / 992
= 508
Step2:
LCM(4, 102) = 204
GCD(4, 102) = ( 4 x 102 ) / 204
= 4 / 102
= 4
Step3:
LCM(2, 988) = 988
GCD(2, 988) = ( 2 x 988 ) / 988
= 2 / 988
= 2
So, Greatest Common Divisor of 508, 992, 102, 988 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 508, 992, 102, 988
The greatest common divisor of numbers 508, 992, 102, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 992, 102, 988 is 2.
1. What is the GCD of 508, 992, 102, 988?
GCD of given numbers 508, 992, 102, 988 is 2
2. How to calculate the greatest common divisor of 508, 992, 102, 988?
We can find the highest common divisor of 508, 992, 102, 988 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 508, 992, 102, 988 i.e 2.
3. How can I use the GCD of 508, 992, 102, 988Calculator?
Out the numbers 508, 992, 102, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.