Online GCD Calculator is useful to find the GCD of 942, 596, 270, 316 quickly. Get the easiest ways to solve the greatest common divisor of 942, 596, 270, 316 i.e 2 in different methods as follows.
Given Input numbers are 942, 596, 270, 316
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 596 :
The positive integer divisors of 596 that completely divides 596 are.
1, 2, 4, 149, 298, 596
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
GCD of numbers is the greatest common divisor
So, the GCD (942, 596, 270, 316) = 2.
Given numbers are 942, 596, 270, 316
The list of prime factors of all numbers are
Prime factors of 942 are 2 x 3 x 157
Prime factors of 596 are 2 x 2 x 149
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 316 are 2 x 2 x 79
The highest common occurrence is 21
Therefore, GCD of 942, 596, 270, 316 is 2.
Given numbers are 942, 596, 270, 316
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(942, 596) = 280716
GCD(942, 596) = ( 942 x 596 ) / 280716
= 942 / 596
= 942
Step2:
LCM(2, 270) = 270
GCD(2, 270) = ( 2 x 270 ) / 270
= 2 / 270
= 2
Step3:
LCM(2, 316) = 316
GCD(2, 316) = ( 2 x 316 ) / 316
= 2 / 316
= 2
So, Greatest Common Divisor of 942, 596, 270, 316 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 942, 596, 270, 316
The greatest common divisor of numbers 942, 596, 270, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 596, 270, 316 is 2.
1. What is the GCD of 942, 596, 270, 316?
GCD of given numbers 942, 596, 270, 316 is 2
2. How to calculate the greatest common divisor of 942, 596, 270, 316?
We can find the highest common divisor of 942, 596, 270, 316 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, 596, 270, 316 i.e 2.
3. How can I use the GCD of 942, 596, 270, 316Calculator?
Out the numbers 942, 596, 270, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.