Online GCD Calculator is useful to find the GCD of 850, 119, 221, 884 quickly. Get the easiest ways to solve the greatest common divisor of 850, 119, 221, 884 i.e 17 in different methods as follows.
Given Input numbers are 850, 119, 221, 884
In the factoring method, we have to find the divisors of all numbers
Divisors of 850 :
The positive integer divisors of 850 that completely divides 850 are.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 119 :
The positive integer divisors of 119 that completely divides 119 are.
1, 7, 17, 119
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
Divisors of 884 :
The positive integer divisors of 884 that completely divides 884 are.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
GCD of numbers is the greatest common divisor
So, the GCD (850, 119, 221, 884) = 17.
Given numbers are 850, 119, 221, 884
The list of prime factors of all numbers are
Prime factors of 850 are 2 x 5 x 5 x 17
Prime factors of 119 are 7 x 17
Prime factors of 221 are 13 x 17
Prime factors of 884 are 2 x 2 x 13 x 17
The highest common occurrence is 171
Therefore, GCD of 850, 119, 221, 884 is 17.
Given numbers are 850, 119, 221, 884
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(850, 119) = 5950
GCD(850, 119) = ( 850 x 119 ) / 5950
= 850 / 119
= 850
Step2:
LCM(17, 221) = 221
GCD(17, 221) = ( 17 x 221 ) / 221
= 17 / 221
= 17
Step3:
LCM(17, 884) = 884
GCD(17, 884) = ( 17 x 884 ) / 884
= 17 / 884
= 17
So, Greatest Common Divisor of 850, 119, 221, 884 is 17
Here are some samples of GCD of Numbers calculations.
Given numbers are 850, 119, 221, 884
The greatest common divisor of numbers 850, 119, 221, 884 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 850, 119, 221, 884 is 17.
1. What is the GCD of 850, 119, 221, 884?
GCD of given numbers 850, 119, 221, 884 is 17
2. How to calculate the greatest common divisor of 850, 119, 221, 884?
We can find the highest common divisor of 850, 119, 221, 884 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 850, 119, 221, 884 i.e 17.
3. How can I use the GCD of 850, 119, 221, 884Calculator?
Out the numbers 850, 119, 221, 884 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.