Online GCD Calculator is useful to find the GCD of 942, 204, 602, 314 quickly. Get the easiest ways to solve the greatest common divisor of 942, 204, 602, 314 i.e 2 in different methods as follows.
Given Input numbers are 942, 204, 602, 314
In the factoring method, we have to find the divisors of all numbers
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 602 :
The positive integer divisors of 602 that completely divides 602 are.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
GCD of numbers is the greatest common divisor
So, the GCD (942, 204, 602, 314) = 2.
Given numbers are 942, 204, 602, 314
The list of prime factors of all numbers are
Prime factors of 942 are 2 x 3 x 157
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 602 are 2 x 7 x 43
Prime factors of 314 are 2 x 157
The highest common occurrence is 21
Therefore, GCD of 942, 204, 602, 314 is 2.
Given numbers are 942, 204, 602, 314
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(942, 204) = 32028
GCD(942, 204) = ( 942 x 204 ) / 32028
= 942 / 204
= 942
Step2:
LCM(6, 602) = 1806
GCD(6, 602) = ( 6 x 602 ) / 1806
= 6 / 602
= 6
Step3:
LCM(2, 314) = 314
GCD(2, 314) = ( 2 x 314 ) / 314
= 2 / 314
= 2
So, Greatest Common Divisor of 942, 204, 602, 314 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 942, 204, 602, 314
The greatest common divisor of numbers 942, 204, 602, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 204, 602, 314 is 2.
1. What is the GCD of 942, 204, 602, 314?
GCD of given numbers 942, 204, 602, 314 is 2
2. How to calculate the greatest common divisor of 942, 204, 602, 314?
We can find the highest common divisor of 942, 204, 602, 314 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 942, 204, 602, 314 i.e 2.
3. How can I use the GCD of 942, 204, 602, 314Calculator?
Out the numbers 942, 204, 602, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.