Online GCD Calculator is useful to find the GCD of 266, 938, 588 quickly. Get the easiest ways to solve the greatest common divisor of 266, 938, 588 i.e 14 in different methods as follows.
Given Input numbers are 266, 938, 588
In the factoring method, we have to find the divisors of all numbers
Divisors of 266 :
The positive integer divisors of 266 that completely divides 266 are.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
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 (266, 938, 588) = 14.
Given numbers are 266, 938, 588
The list of prime factors of all numbers are
Prime factors of 266 are 2 x 7 x 19
Prime factors of 938 are 2 x 7 x 67
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
The highest common occurrence is 21 x 71
Therefore, GCD of 266, 938, 588 is 14.
Given numbers are 266, 938, 588
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(266, 938) = 17822
GCD(266, 938) = ( 266 x 938 ) / 17822
= 266 / 938
= 266
Step2:
LCM(14, 588) = 588
GCD(14, 588) = ( 14 x 588 ) / 588
= 14 / 588
= 14
So, Greatest Common Divisor of 266, 938, 588 is 14
Here are some samples of GCD of Numbers calculations.
Given numbers are 266, 938, 588
The greatest common divisor of numbers 266, 938, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 266, 938, 588 is 14.
1. What is the GCD of 266, 938, 588?
GCD of given numbers 266, 938, 588 is 14
2. How to calculate the greatest common divisor of 266, 938, 588?
We can find the highest common divisor of 266, 938, 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 266, 938, 588 i.e 14.
3. How can I use the GCD of 266, 938, 588Calculator?
Out the numbers 266, 938, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.