Online GCD Calculator is useful to find the GCD of 588, 266, 882 quickly. Get the easiest ways to solve the greatest common divisor of 588, 266, 882 i.e 14 in different methods as follows.
Given Input numbers are 588, 266, 882
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 266 :
The positive integer divisors of 266 that completely divides 266 are.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
GCD of numbers is the greatest common divisor
So, the GCD (588, 266, 882) = 14.
Given numbers are 588, 266, 882
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 266 are 2 x 7 x 19
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
The highest common occurrence is 21 x 71
Therefore, GCD of 588, 266, 882 is 14.
Given numbers are 588, 266, 882
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(588, 266) = 11172
GCD(588, 266) = ( 588 x 266 ) / 11172
= 588 / 266
= 588
Step2:
LCM(14, 882) = 882
GCD(14, 882) = ( 14 x 882 ) / 882
= 14 / 882
= 14
So, Greatest Common Divisor of 588, 266, 882 is 14
Here are some samples of GCD of Numbers calculations.
Given numbers are 588, 266, 882
The greatest common divisor of numbers 588, 266, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 266, 882 is 14.
1. What is the GCD of 588, 266, 882?
GCD of given numbers 588, 266, 882 is 14
2. How to calculate the greatest common divisor of 588, 266, 882?
We can find the highest common divisor of 588, 266, 882 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, 266, 882 i.e 14.
3. How can I use the GCD of 588, 266, 882Calculator?
Out the numbers 588, 266, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.