Online GCD Calculator is useful to find the GCD of 287, 938, 14, 798 quickly. Get the easiest ways to solve the greatest common divisor of 287, 938, 14, 798 i.e 7 in different methods as follows.
Given Input numbers are 287, 938, 14, 798
In the factoring method, we have to find the divisors of all numbers
Divisors of 287 :
The positive integer divisors of 287 that completely divides 287 are.
1, 7, 41, 287
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 14 :
The positive integer divisors of 14 that completely divides 14 are.
1, 2, 7, 14
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
GCD of numbers is the greatest common divisor
So, the GCD (287, 938, 14, 798) = 7.
Given numbers are 287, 938, 14, 798
The list of prime factors of all numbers are
Prime factors of 287 are 7 x 41
Prime factors of 938 are 2 x 7 x 67
Prime factors of 14 are 2 x 7
Prime factors of 798 are 2 x 3 x 7 x 19
The highest common occurrence is 71
Therefore, GCD of 287, 938, 14, 798 is 7.
Given numbers are 287, 938, 14, 798
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(287, 938) = 38458
GCD(287, 938) = ( 287 x 938 ) / 38458
= 287 / 938
= 287
Step2:
LCM(7, 14) = 14
GCD(7, 14) = ( 7 x 14 ) / 14
= 7 / 14
= 7
Step3:
LCM(7, 798) = 798
GCD(7, 798) = ( 7 x 798 ) / 798
= 7 / 798
= 7
So, Greatest Common Divisor of 287, 938, 14, 798 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 287, 938, 14, 798
The greatest common divisor of numbers 287, 938, 14, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 287, 938, 14, 798 is 7.
1. What is the GCD of 287, 938, 14, 798?
GCD of given numbers 287, 938, 14, 798 is 7
2. How to calculate the greatest common divisor of 287, 938, 14, 798?
We can find the highest common divisor of 287, 938, 14, 798 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 287, 938, 14, 798 i.e 7.
3. How can I use the GCD of 287, 938, 14, 798Calculator?
Out the numbers 287, 938, 14, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.