Online GCD Calculator is useful to find the GCD of 474, 804, 588 quickly. Get the easiest ways to solve the greatest common divisor of 474, 804, 588 i.e 6 in different methods as follows.
Given Input numbers are 474, 804, 588
In the factoring method, we have to find the divisors of all numbers
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
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
GCD of numbers is the greatest common divisor
So, the GCD (474, 804, 588) = 6.
Given numbers are 474, 804, 588
The list of prime factors of all numbers are
Prime factors of 474 are 2 x 3 x 79
Prime factors of 804 are 2 x 2 x 3 x 67
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
The highest common occurrence is 21 x 31
Therefore, GCD of 474, 804, 588 is 6.
Given numbers are 474, 804, 588
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(474, 804) = 63516
GCD(474, 804) = ( 474 x 804 ) / 63516
= 474 / 804
= 474
Step2:
LCM(6, 588) = 588
GCD(6, 588) = ( 6 x 588 ) / 588
= 6 / 588
= 6
So, Greatest Common Divisor of 474, 804, 588 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 474, 804, 588
The greatest common divisor of numbers 474, 804, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 804, 588 is 6.
1. What is the GCD of 474, 804, 588?
GCD of given numbers 474, 804, 588 is 6
2. How to calculate the greatest common divisor of 474, 804, 588?
We can find the highest common divisor of 474, 804, 588 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 474, 804, 588 i.e 6.
3. How can I use the GCD of 474, 804, 588Calculator?
Out the numbers 474, 804, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.