Online GCD Calculator is useful to find the GCD of 832, 273, 221 quickly. Get the easiest ways to solve the greatest common divisor of 832, 273, 221 i.e 13 in different methods as follows.
Given Input numbers are 832, 273, 221
In the factoring method, we have to find the divisors of all numbers
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
GCD of numbers is the greatest common divisor
So, the GCD (832, 273, 221) = 13.
Given numbers are 832, 273, 221
The list of prime factors of all numbers are
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 273 are 3 x 7 x 13
Prime factors of 221 are 13 x 17
The highest common occurrence is 131
Therefore, GCD of 832, 273, 221 is 13.
Given numbers are 832, 273, 221
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(832, 273) = 17472
GCD(832, 273) = ( 832 x 273 ) / 17472
= 832 / 273
= 832
Step2:
LCM(13, 221) = 221
GCD(13, 221) = ( 13 x 221 ) / 221
= 13 / 221
= 13
So, Greatest Common Divisor of 832, 273, 221 is 13
Here are some samples of GCD of Numbers calculations.
Given numbers are 832, 273, 221
The greatest common divisor of numbers 832, 273, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 832, 273, 221 is 13.
1. What is the GCD of 832, 273, 221?
GCD of given numbers 832, 273, 221 is 13
2. How to calculate the greatest common divisor of 832, 273, 221?
We can find the highest common divisor of 832, 273, 221 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 832, 273, 221 i.e 13.
3. How can I use the GCD of 832, 273, 221Calculator?
Out the numbers 832, 273, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.