Online GCD Calculator is useful to find the GCD of 844, 400, 220, 850 quickly. Get the easiest ways to solve the greatest common divisor of 844, 400, 220, 850 i.e 2 in different methods as follows.
Given Input numbers are 844, 400, 220, 850
In the factoring method, we have to find the divisors of all numbers
Divisors of 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
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
GCD of numbers is the greatest common divisor
So, the GCD (844, 400, 220, 850) = 2.
Given numbers are 844, 400, 220, 850
The list of prime factors of all numbers are
Prime factors of 844 are 2 x 2 x 211
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 850 are 2 x 5 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 844, 400, 220, 850 is 2.
Given numbers are 844, 400, 220, 850
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(844, 400) = 84400
GCD(844, 400) = ( 844 x 400 ) / 84400
= 844 / 400
= 844
Step2:
LCM(4, 220) = 220
GCD(4, 220) = ( 4 x 220 ) / 220
= 4 / 220
= 4
Step3:
LCM(4, 850) = 1700
GCD(4, 850) = ( 4 x 850 ) / 1700
= 4 / 850
= 4
So, Greatest Common Divisor of 844, 400, 220, 850 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 844, 400, 220, 850
The greatest common divisor of numbers 844, 400, 220, 850 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 844, 400, 220, 850 is 2.
1. What is the GCD of 844, 400, 220, 850?
GCD of given numbers 844, 400, 220, 850 is 2
2. How to calculate the greatest common divisor of 844, 400, 220, 850?
We can find the highest common divisor of 844, 400, 220, 850 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 844, 400, 220, 850 i.e 2.
3. How can I use the GCD of 844, 400, 220, 850Calculator?
Out the numbers 844, 400, 220, 850 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.