Online GCD Calculator is useful to find the GCD of 988, 244, 438, 100 quickly. Get the easiest ways to solve the greatest common divisor of 988, 244, 438, 100 i.e 2 in different methods as follows.
Given Input numbers are 988, 244, 438, 100
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 244 :
The positive integer divisors of 244 that completely divides 244 are.
1, 2, 4, 61, 122, 244
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD of numbers is the greatest common divisor
So, the GCD (988, 244, 438, 100) = 2.
Given numbers are 988, 244, 438, 100
The list of prime factors of all numbers are
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 244 are 2 x 2 x 61
Prime factors of 438 are 2 x 3 x 73
Prime factors of 100 are 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 988, 244, 438, 100 is 2.
Given numbers are 988, 244, 438, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(988, 244) = 60268
GCD(988, 244) = ( 988 x 244 ) / 60268
= 988 / 244
= 988
Step2:
LCM(4, 438) = 876
GCD(4, 438) = ( 4 x 438 ) / 876
= 4 / 438
= 4
Step3:
LCM(2, 100) = 100
GCD(2, 100) = ( 2 x 100 ) / 100
= 2 / 100
= 2
So, Greatest Common Divisor of 988, 244, 438, 100 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 988, 244, 438, 100
The greatest common divisor of numbers 988, 244, 438, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 244, 438, 100 is 2.
1. What is the GCD of 988, 244, 438, 100?
GCD of given numbers 988, 244, 438, 100 is 2
2. How to calculate the greatest common divisor of 988, 244, 438, 100?
We can find the highest common divisor of 988, 244, 438, 100 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, 244, 438, 100 i.e 2.
3. How can I use the GCD of 988, 244, 438, 100Calculator?
Out the numbers 988, 244, 438, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.