Online GCD Calculator is useful to find the GCD of 850, 500, 376, 600 quickly. Get the easiest ways to solve the greatest common divisor of 850, 500, 376, 600 i.e 2 in different methods as follows.
Given Input numbers are 850, 500, 376, 600
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 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 376 :
The positive integer divisors of 376 that completely divides 376 are.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
GCD of numbers is the greatest common divisor
So, the GCD (850, 500, 376, 600) = 2.
Given numbers are 850, 500, 376, 600
The list of prime factors of all numbers are
Prime factors of 850 are 2 x 5 x 5 x 17
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 376 are 2 x 2 x 2 x 47
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 850, 500, 376, 600 is 2.
Given numbers are 850, 500, 376, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(850, 500) = 8500
GCD(850, 500) = ( 850 x 500 ) / 8500
= 850 / 500
= 850
Step2:
LCM(50, 376) = 9400
GCD(50, 376) = ( 50 x 376 ) / 9400
= 50 / 376
= 50
Step3:
LCM(2, 600) = 600
GCD(2, 600) = ( 2 x 600 ) / 600
= 2 / 600
= 2
So, Greatest Common Divisor of 850, 500, 376, 600 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 850, 500, 376, 600
The greatest common divisor of numbers 850, 500, 376, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 850, 500, 376, 600 is 2.
1. What is the GCD of 850, 500, 376, 600?
GCD of given numbers 850, 500, 376, 600 is 2
2. How to calculate the greatest common divisor of 850, 500, 376, 600?
We can find the highest common divisor of 850, 500, 376, 600 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, 500, 376, 600 i.e 2.
3. How can I use the GCD of 850, 500, 376, 600Calculator?
Out the numbers 850, 500, 376, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.