Online GCD Calculator is useful to find the GCD of 134, 600, 324, 118 quickly. Get the easiest ways to solve the greatest common divisor of 134, 600, 324, 118 i.e 2 in different methods as follows.
Given Input numbers are 134, 600, 324, 118
In the factoring method, we have to find the divisors of all numbers
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
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 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
GCD of numbers is the greatest common divisor
So, the GCD (134, 600, 324, 118) = 2.
Given numbers are 134, 600, 324, 118
The list of prime factors of all numbers are
Prime factors of 134 are 2 x 67
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 118 are 2 x 59
The highest common occurrence is 21
Therefore, GCD of 134, 600, 324, 118 is 2.
Given numbers are 134, 600, 324, 118
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(134, 600) = 40200
GCD(134, 600) = ( 134 x 600 ) / 40200
= 134 / 600
= 134
Step2:
LCM(2, 324) = 324
GCD(2, 324) = ( 2 x 324 ) / 324
= 2 / 324
= 2
Step3:
LCM(2, 118) = 118
GCD(2, 118) = ( 2 x 118 ) / 118
= 2 / 118
= 2
So, Greatest Common Divisor of 134, 600, 324, 118 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 134, 600, 324, 118
The greatest common divisor of numbers 134, 600, 324, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 600, 324, 118 is 2.
1. What is the GCD of 134, 600, 324, 118?
GCD of given numbers 134, 600, 324, 118 is 2
2. How to calculate the greatest common divisor of 134, 600, 324, 118?
We can find the highest common divisor of 134, 600, 324, 118 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 134, 600, 324, 118 i.e 2.
3. How can I use the GCD of 134, 600, 324, 118Calculator?
Out the numbers 134, 600, 324, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.