Online GCD Calculator is useful to find the GCD of 938, 610, 116, 310 quickly. Get the easiest ways to solve the greatest common divisor of 938, 610, 116, 310 i.e 2 in different methods as follows.
Given Input numbers are 938, 610, 116, 310
In the factoring method, we have to find the divisors of all numbers
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 610 :
The positive integer divisors of 610 that completely divides 610 are.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
GCD of numbers is the greatest common divisor
So, the GCD (938, 610, 116, 310) = 2.
Given numbers are 938, 610, 116, 310
The list of prime factors of all numbers are
Prime factors of 938 are 2 x 7 x 67
Prime factors of 610 are 2 x 5 x 61
Prime factors of 116 are 2 x 2 x 29
Prime factors of 310 are 2 x 5 x 31
The highest common occurrence is 21
Therefore, GCD of 938, 610, 116, 310 is 2.
Given numbers are 938, 610, 116, 310
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(938, 610) = 286090
GCD(938, 610) = ( 938 x 610 ) / 286090
= 938 / 610
= 938
Step2:
LCM(2, 116) = 116
GCD(2, 116) = ( 2 x 116 ) / 116
= 2 / 116
= 2
Step3:
LCM(2, 310) = 310
GCD(2, 310) = ( 2 x 310 ) / 310
= 2 / 310
= 2
So, Greatest Common Divisor of 938, 610, 116, 310 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 938, 610, 116, 310
The greatest common divisor of numbers 938, 610, 116, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 610, 116, 310 is 2.
1. What is the GCD of 938, 610, 116, 310?
GCD of given numbers 938, 610, 116, 310 is 2
2. How to calculate the greatest common divisor of 938, 610, 116, 310?
We can find the highest common divisor of 938, 610, 116, 310 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 938, 610, 116, 310 i.e 2.
3. How can I use the GCD of 938, 610, 116, 310Calculator?
Out the numbers 938, 610, 116, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.