Online GCD Calculator is useful to find the GCD of 366, 742, 542, 850 quickly. Get the easiest ways to solve the greatest common divisor of 366, 742, 542, 850 i.e 2 in different methods as follows.
Given Input numbers are 366, 742, 542, 850
In the factoring method, we have to find the divisors of all numbers
Divisors of 366 :
The positive integer divisors of 366 that completely divides 366 are.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
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 (366, 742, 542, 850) = 2.
Given numbers are 366, 742, 542, 850
The list of prime factors of all numbers are
Prime factors of 366 are 2 x 3 x 61
Prime factors of 742 are 2 x 7 x 53
Prime factors of 542 are 2 x 271
Prime factors of 850 are 2 x 5 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 366, 742, 542, 850 is 2.
Given numbers are 366, 742, 542, 850
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(366, 742) = 135786
GCD(366, 742) = ( 366 x 742 ) / 135786
= 366 / 742
= 366
Step2:
LCM(2, 542) = 542
GCD(2, 542) = ( 2 x 542 ) / 542
= 2 / 542
= 2
Step3:
LCM(2, 850) = 850
GCD(2, 850) = ( 2 x 850 ) / 850
= 2 / 850
= 2
So, Greatest Common Divisor of 366, 742, 542, 850 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 366, 742, 542, 850
The greatest common divisor of numbers 366, 742, 542, 850 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 366, 742, 542, 850 is 2.
1. What is the GCD of 366, 742, 542, 850?
GCD of given numbers 366, 742, 542, 850 is 2
2. How to calculate the greatest common divisor of 366, 742, 542, 850?
We can find the highest common divisor of 366, 742, 542, 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 366, 742, 542, 850 i.e 2.
3. How can I use the GCD of 366, 742, 542, 850Calculator?
Out the numbers 366, 742, 542, 850 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.