Online GCD Calculator is useful to find the GCD of 600, 938, 494, 882 quickly. Get the easiest ways to solve the greatest common divisor of 600, 938, 494, 882 i.e 2 in different methods as follows.
Given Input numbers are 600, 938, 494, 882
In the factoring method, we have to find the divisors of all numbers
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 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
GCD of numbers is the greatest common divisor
So, the GCD (600, 938, 494, 882) = 2.
Given numbers are 600, 938, 494, 882
The list of prime factors of all numbers are
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 938 are 2 x 7 x 67
Prime factors of 494 are 2 x 13 x 19
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 600, 938, 494, 882 is 2.
Given numbers are 600, 938, 494, 882
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(600, 938) = 281400
GCD(600, 938) = ( 600 x 938 ) / 281400
= 600 / 938
= 600
Step2:
LCM(2, 494) = 494
GCD(2, 494) = ( 2 x 494 ) / 494
= 2 / 494
= 2
Step3:
LCM(2, 882) = 882
GCD(2, 882) = ( 2 x 882 ) / 882
= 2 / 882
= 2
So, Greatest Common Divisor of 600, 938, 494, 882 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 600, 938, 494, 882
The greatest common divisor of numbers 600, 938, 494, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 938, 494, 882 is 2.
1. What is the GCD of 600, 938, 494, 882?
GCD of given numbers 600, 938, 494, 882 is 2
2. How to calculate the greatest common divisor of 600, 938, 494, 882?
We can find the highest common divisor of 600, 938, 494, 882 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 600, 938, 494, 882 i.e 2.
3. How can I use the GCD of 600, 938, 494, 882Calculator?
Out the numbers 600, 938, 494, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.