Online GCD Calculator is useful to find the GCD of 588, 294, 238, 792 quickly. Get the easiest ways to solve the greatest common divisor of 588, 294, 238, 792 i.e 2 in different methods as follows.
Given Input numbers are 588, 294, 238, 792
In the factoring method, we have to find the divisors of all numbers
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
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 (588, 294, 238, 792) = 2.
Given numbers are 588, 294, 238, 792
The list of prime factors of all numbers are
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 294 are 2 x 3 x 7 x 7
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 588, 294, 238, 792 is 2.
Given numbers are 588, 294, 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(588, 294) = 588
GCD(588, 294) = ( 588 x 294 ) / 588
= 588 / 294
= 588
Step2:
LCM(294, 238) = 4998
GCD(294, 238) = ( 294 x 238 ) / 4998
= 294 / 238
= 294
Step3:
LCM(14, 792) = 5544
GCD(14, 792) = ( 14 x 792 ) / 5544
= 14 / 792
= 14
So, Greatest Common Divisor of 588, 294, 238, 792 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 588, 294, 238, 792
The greatest common divisor of numbers 588, 294, 238, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 294, 238, 792 is 2.
1. What is the GCD of 588, 294, 238, 792?
GCD of given numbers 588, 294, 238, 792 is 2
2. How to calculate the greatest common divisor of 588, 294, 238, 792?
We can find the highest common divisor of 588, 294, 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 588, 294, 238, 792 i.e 2.
3. How can I use the GCD of 588, 294, 238, 792Calculator?
Out the numbers 588, 294, 238, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.