Online GCD Calculator is useful to find the GCD of 108, 424, 630, 938 quickly. Get the easiest ways to solve the greatest common divisor of 108, 424, 630, 938 i.e 2 in different methods as follows.
Given Input numbers are 108, 424, 630, 938
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 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 630 :
The positive integer divisors of 630 that completely divides 630 are.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
GCD of numbers is the greatest common divisor
So, the GCD (108, 424, 630, 938) = 2.
Given numbers are 108, 424, 630, 938
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 424 are 2 x 2 x 2 x 53
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
Prime factors of 938 are 2 x 7 x 67
The highest common occurrence is 21
Therefore, GCD of 108, 424, 630, 938 is 2.
Given numbers are 108, 424, 630, 938
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 424) = 11448
GCD(108, 424) = ( 108 x 424 ) / 11448
= 108 / 424
= 108
Step2:
LCM(4, 630) = 1260
GCD(4, 630) = ( 4 x 630 ) / 1260
= 4 / 630
= 4
Step3:
LCM(2, 938) = 938
GCD(2, 938) = ( 2 x 938 ) / 938
= 2 / 938
= 2
So, Greatest Common Divisor of 108, 424, 630, 938 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 424, 630, 938
The greatest common divisor of numbers 108, 424, 630, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 424, 630, 938 is 2.
1. What is the GCD of 108, 424, 630, 938?
GCD of given numbers 108, 424, 630, 938 is 2
2. How to calculate the greatest common divisor of 108, 424, 630, 938?
We can find the highest common divisor of 108, 424, 630, 938 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, 424, 630, 938 i.e 2.
3. How can I use the GCD of 108, 424, 630, 938Calculator?
Out the numbers 108, 424, 630, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.