Online GCD Calculator is useful to find the GCD of 798, 917, 921, 238 quickly. Get the easiest ways to solve the greatest common divisor of 798, 917, 921, 238 i.e 1 in different methods as follows.
Given Input numbers are 798, 917, 921, 238
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 917 :
The positive integer divisors of 917 that completely divides 917 are.
1, 7, 131, 917
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
GCD of numbers is the greatest common divisor
So, the GCD (798, 917, 921, 238) = 1.
Given numbers are 798, 917, 921, 238
The list of prime factors of all numbers are
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 917 are 7 x 131
Prime factors of 921 are 3 x 307
Prime factors of 238 are 2 x 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 798, 917, 921, 238
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(798, 917) = 104538
GCD(798, 917) = ( 798 x 917 ) / 104538
= 798 / 917
= 798
Step2:
LCM(7, 921) = 6447
GCD(7, 921) = ( 7 x 921 ) / 6447
= 7 / 921
= 7
Step3:
LCM(1, 238) = 238
GCD(1, 238) = ( 1 x 238 ) / 238
= 1 / 238
= 1
So, Greatest Common Divisor of 798, 917, 921, 238 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 798, 917, 921, 238
The greatest common divisor of numbers 798, 917, 921, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 917, 921, 238 is 1.
1. What is the GCD of 798, 917, 921, 238?
GCD of given numbers 798, 917, 921, 238 is 1
2. How to calculate the greatest common divisor of 798, 917, 921, 238?
We can find the highest common divisor of 798, 917, 921, 238 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 798, 917, 921, 238 i.e 1.
3. How can I use the GCD of 798, 917, 921, 238Calculator?
Out the numbers 798, 917, 921, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.