Online GCD Calculator is useful to find the GCD of 108, 252, 988, 642 quickly. Get the easiest ways to solve the greatest common divisor of 108, 252, 988, 642 i.e 2 in different methods as follows.
Given Input numbers are 108, 252, 988, 642
In the factoring method, we have to find the divisors of all numbers
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
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 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
GCD of numbers is the greatest common divisor
So, the GCD (108, 252, 988, 642) = 2.
Given numbers are 108, 252, 988, 642
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 642 are 2 x 3 x 107
The highest common occurrence is 21
Therefore, GCD of 108, 252, 988, 642 is 2.
Given numbers are 108, 252, 988, 642
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 252) = 756
GCD(108, 252) = ( 108 x 252 ) / 756
= 108 / 252
= 108
Step2:
LCM(36, 988) = 8892
GCD(36, 988) = ( 36 x 988 ) / 8892
= 36 / 988
= 36
Step3:
LCM(4, 642) = 1284
GCD(4, 642) = ( 4 x 642 ) / 1284
= 4 / 642
= 4
So, Greatest Common Divisor of 108, 252, 988, 642 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 252, 988, 642
The greatest common divisor of numbers 108, 252, 988, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 252, 988, 642 is 2.
1. What is the GCD of 108, 252, 988, 642?
GCD of given numbers 108, 252, 988, 642 is 2
2. How to calculate the greatest common divisor of 108, 252, 988, 642?
We can find the highest common divisor of 108, 252, 988, 642 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 108, 252, 988, 642 i.e 2.
3. How can I use the GCD of 108, 252, 988, 642Calculator?
Out the numbers 108, 252, 988, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.