Online GCD Calculator is useful to find the GCD of 148, 338, 238, 792 quickly. Get the easiest ways to solve the greatest common divisor of 148, 338, 238, 792 i.e 2 in different methods as follows.
Given Input numbers are 148, 338, 238, 792
In the factoring method, we have to find the divisors of all numbers
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
GCD of numbers is the greatest common divisor
So, the GCD (148, 338, 238, 792) = 2.
Given numbers are 148, 338, 238, 792
The list of prime factors of all numbers are
Prime factors of 148 are 2 x 2 x 37
Prime factors of 338 are 2 x 13 x 13
Prime factors of 238 are 2 x 7 x 17
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 148, 338, 238, 792 is 2.
Given numbers are 148, 338, 238, 792
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(148, 338) = 25012
GCD(148, 338) = ( 148 x 338 ) / 25012
= 148 / 338
= 148
Step2:
LCM(2, 238) = 238
GCD(2, 238) = ( 2 x 238 ) / 238
= 2 / 238
= 2
Step3:
LCM(2, 792) = 792
GCD(2, 792) = ( 2 x 792 ) / 792
= 2 / 792
= 2
So, Greatest Common Divisor of 148, 338, 238, 792 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 148, 338, 238, 792
The greatest common divisor of numbers 148, 338, 238, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 338, 238, 792 is 2.
1. What is the GCD of 148, 338, 238, 792?
GCD of given numbers 148, 338, 238, 792 is 2
2. How to calculate the greatest common divisor of 148, 338, 238, 792?
We can find the highest common divisor of 148, 338, 238, 792 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 148, 338, 238, 792 i.e 2.
3. How can I use the GCD of 148, 338, 238, 792Calculator?
Out the numbers 148, 338, 238, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.