Online GCD Calculator is useful to find the GCD of 336, 946, 600, 284 quickly. Get the easiest ways to solve the greatest common divisor of 336, 946, 600, 284 i.e 2 in different methods as follows.
Given Input numbers are 336, 946, 600, 284
In the factoring method, we have to find the divisors of all numbers
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
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
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
GCD of numbers is the greatest common divisor
So, the GCD (336, 946, 600, 284) = 2.
Given numbers are 336, 946, 600, 284
The list of prime factors of all numbers are
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 946 are 2 x 11 x 43
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 284 are 2 x 2 x 71
The highest common occurrence is 21
Therefore, GCD of 336, 946, 600, 284 is 2.
Given numbers are 336, 946, 600, 284
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(336, 946) = 158928
GCD(336, 946) = ( 336 x 946 ) / 158928
= 336 / 946
= 336
Step2:
LCM(2, 600) = 600
GCD(2, 600) = ( 2 x 600 ) / 600
= 2 / 600
= 2
Step3:
LCM(2, 284) = 284
GCD(2, 284) = ( 2 x 284 ) / 284
= 2 / 284
= 2
So, Greatest Common Divisor of 336, 946, 600, 284 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 336, 946, 600, 284
The greatest common divisor of numbers 336, 946, 600, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 946, 600, 284 is 2.
1. What is the GCD of 336, 946, 600, 284?
GCD of given numbers 336, 946, 600, 284 is 2
2. How to calculate the greatest common divisor of 336, 946, 600, 284?
We can find the highest common divisor of 336, 946, 600, 284 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 336, 946, 600, 284 i.e 2.
3. How can I use the GCD of 336, 946, 600, 284Calculator?
Out the numbers 336, 946, 600, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.