Online GCD Calculator is useful to find the GCD of 138, 134, 932, 288 quickly. Get the easiest ways to solve the greatest common divisor of 138, 134, 932, 288 i.e 2 in different methods as follows.
Given Input numbers are 138, 134, 932, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
Divisors of 932 :
The positive integer divisors of 932 that completely divides 932 are.
1, 2, 4, 233, 466, 932
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (138, 134, 932, 288) = 2.
Given numbers are 138, 134, 932, 288
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 134 are 2 x 67
Prime factors of 932 are 2 x 2 x 233
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 138, 134, 932, 288 is 2.
Given numbers are 138, 134, 932, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 134) = 9246
GCD(138, 134) = ( 138 x 134 ) / 9246
= 138 / 134
= 138
Step2:
LCM(2, 932) = 932
GCD(2, 932) = ( 2 x 932 ) / 932
= 2 / 932
= 2
Step3:
LCM(2, 288) = 288
GCD(2, 288) = ( 2 x 288 ) / 288
= 2 / 288
= 2
So, Greatest Common Divisor of 138, 134, 932, 288 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 134, 932, 288
The greatest common divisor of numbers 138, 134, 932, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 134, 932, 288 is 2.
1. What is the GCD of 138, 134, 932, 288?
GCD of given numbers 138, 134, 932, 288 is 2
2. How to calculate the greatest common divisor of 138, 134, 932, 288?
We can find the highest common divisor of 138, 134, 932, 288 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 138, 134, 932, 288 i.e 2.
3. How can I use the GCD of 138, 134, 932, 288Calculator?
Out the numbers 138, 134, 932, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.