Online GCD Calculator is useful to find the GCD of 324, 138, 534, 940 quickly. Get the easiest ways to solve the greatest common divisor of 324, 138, 534, 940 i.e 2 in different methods as follows.
Given Input numbers are 324, 138, 534, 940
In the factoring method, we have to find the divisors of all numbers
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 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 534 :
The positive integer divisors of 534 that completely divides 534 are.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
GCD of numbers is the greatest common divisor
So, the GCD (324, 138, 534, 940) = 2.
Given numbers are 324, 138, 534, 940
The list of prime factors of all numbers are
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 138 are 2 x 3 x 23
Prime factors of 534 are 2 x 3 x 89
Prime factors of 940 are 2 x 2 x 5 x 47
The highest common occurrence is 21
Therefore, GCD of 324, 138, 534, 940 is 2.
Given numbers are 324, 138, 534, 940
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(324, 138) = 7452
GCD(324, 138) = ( 324 x 138 ) / 7452
= 324 / 138
= 324
Step2:
LCM(6, 534) = 534
GCD(6, 534) = ( 6 x 534 ) / 534
= 6 / 534
= 6
Step3:
LCM(6, 940) = 2820
GCD(6, 940) = ( 6 x 940 ) / 2820
= 6 / 940
= 6
So, Greatest Common Divisor of 324, 138, 534, 940 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 324, 138, 534, 940
The greatest common divisor of numbers 324, 138, 534, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 138, 534, 940 is 2.
1. What is the GCD of 324, 138, 534, 940?
GCD of given numbers 324, 138, 534, 940 is 2
2. How to calculate the greatest common divisor of 324, 138, 534, 940?
We can find the highest common divisor of 324, 138, 534, 940 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 324, 138, 534, 940 i.e 2.
3. How can I use the GCD of 324, 138, 534, 940Calculator?
Out the numbers 324, 138, 534, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.