Online GCD Calculator is useful to find the GCD of 824, 292, 660, 850 quickly. Get the easiest ways to solve the greatest common divisor of 824, 292, 660, 850 i.e 2 in different methods as follows.
Given Input numbers are 824, 292, 660, 850
In the factoring method, we have to find the divisors of all numbers
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 292 :
The positive integer divisors of 292 that completely divides 292 are.
1, 2, 4, 73, 146, 292
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
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 (824, 292, 660, 850) = 2.
Given numbers are 824, 292, 660, 850
The list of prime factors of all numbers are
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 292 are 2 x 2 x 73
Prime factors of 660 are 2 x 2 x 3 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 824, 292, 660, 850 is 2.
Given numbers are 824, 292, 660, 850
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(824, 292) = 60152
GCD(824, 292) = ( 824 x 292 ) / 60152
= 824 / 292
= 824
Step2:
LCM(4, 660) = 660
GCD(4, 660) = ( 4 x 660 ) / 660
= 4 / 660
= 4
Step3:
LCM(4, 850) = 1700
GCD(4, 850) = ( 4 x 850 ) / 1700
= 4 / 850
= 4
So, Greatest Common Divisor of 824, 292, 660, 850 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 824, 292, 660, 850
The greatest common divisor of numbers 824, 292, 660, 850 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 292, 660, 850 is 2.
1. What is the GCD of 824, 292, 660, 850?
GCD of given numbers 824, 292, 660, 850 is 2
2. How to calculate the greatest common divisor of 824, 292, 660, 850?
We can find the highest common divisor of 824, 292, 660, 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 824, 292, 660, 850 i.e 2.
3. How can I use the GCD of 824, 292, 660, 850Calculator?
Out the numbers 824, 292, 660, 850 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.