Online GCD Calculator is useful to find the GCD of 342, 938, 996, 638 quickly. Get the easiest ways to solve the greatest common divisor of 342, 938, 996, 638 i.e 2 in different methods as follows.
Given Input numbers are 342, 938, 996, 638
In the factoring method, we have to find the divisors of all numbers
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
GCD of numbers is the greatest common divisor
So, the GCD (342, 938, 996, 638) = 2.
Given numbers are 342, 938, 996, 638
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 938 are 2 x 7 x 67
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 638 are 2 x 11 x 29
The highest common occurrence is 21
Therefore, GCD of 342, 938, 996, 638 is 2.
Given numbers are 342, 938, 996, 638
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 938) = 160398
GCD(342, 938) = ( 342 x 938 ) / 160398
= 342 / 938
= 342
Step2:
LCM(2, 996) = 996
GCD(2, 996) = ( 2 x 996 ) / 996
= 2 / 996
= 2
Step3:
LCM(2, 638) = 638
GCD(2, 638) = ( 2 x 638 ) / 638
= 2 / 638
= 2
So, Greatest Common Divisor of 342, 938, 996, 638 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 938, 996, 638
The greatest common divisor of numbers 342, 938, 996, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 938, 996, 638 is 2.
1. What is the GCD of 342, 938, 996, 638?
GCD of given numbers 342, 938, 996, 638 is 2
2. How to calculate the greatest common divisor of 342, 938, 996, 638?
We can find the highest common divisor of 342, 938, 996, 638 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 342, 938, 996, 638 i.e 2.
3. How can I use the GCD of 342, 938, 996, 638Calculator?
Out the numbers 342, 938, 996, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.