Online GCD Calculator is useful to find the GCD of 942, 438, 116, 138 quickly. Get the easiest ways to solve the greatest common divisor of 942, 438, 116, 138 i.e 2 in different methods as follows.
Given Input numbers are 942, 438, 116, 138
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 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (942, 438, 116, 138) = 2.
Given numbers are 942, 438, 116, 138
The list of prime factors of all numbers are
Prime factors of 942 are 2 x 3 x 157
Prime factors of 438 are 2 x 3 x 73
Prime factors of 116 are 2 x 2 x 29
Prime factors of 138 are 2 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 942, 438, 116, 138 is 2.
Given numbers are 942, 438, 116, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(942, 438) = 68766
GCD(942, 438) = ( 942 x 438 ) / 68766
= 942 / 438
= 942
Step2:
LCM(6, 116) = 348
GCD(6, 116) = ( 6 x 116 ) / 348
= 6 / 116
= 6
Step3:
LCM(2, 138) = 138
GCD(2, 138) = ( 2 x 138 ) / 138
= 2 / 138
= 2
So, Greatest Common Divisor of 942, 438, 116, 138 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 942, 438, 116, 138
The greatest common divisor of numbers 942, 438, 116, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 438, 116, 138 is 2.
1. What is the GCD of 942, 438, 116, 138?
GCD of given numbers 942, 438, 116, 138 is 2
2. How to calculate the greatest common divisor of 942, 438, 116, 138?
We can find the highest common divisor of 942, 438, 116, 138 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, 438, 116, 138 i.e 2.
3. How can I use the GCD of 942, 438, 116, 138Calculator?
Out the numbers 942, 438, 116, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.