Online GCD Calculator is useful to find the GCD of 540, 774, 168, 294 quickly. Get the easiest ways to solve the greatest common divisor of 540, 774, 168, 294 i.e 6 in different methods as follows.
Given Input numbers are 540, 774, 168, 294
In the factoring method, we have to find the divisors of all numbers
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
GCD of numbers is the greatest common divisor
So, the GCD (540, 774, 168, 294) = 6.
Given numbers are 540, 774, 168, 294
The list of prime factors of all numbers are
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 294 are 2 x 3 x 7 x 7
The highest common occurrence is 21 x 31
Therefore, GCD of 540, 774, 168, 294 is 6.
Given numbers are 540, 774, 168, 294
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(540, 774) = 23220
GCD(540, 774) = ( 540 x 774 ) / 23220
= 540 / 774
= 540
Step2:
LCM(18, 168) = 504
GCD(18, 168) = ( 18 x 168 ) / 504
= 18 / 168
= 18
Step3:
LCM(6, 294) = 294
GCD(6, 294) = ( 6 x 294 ) / 294
= 6 / 294
= 6
So, Greatest Common Divisor of 540, 774, 168, 294 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 540, 774, 168, 294
The greatest common divisor of numbers 540, 774, 168, 294 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 774, 168, 294 is 6.
1. What is the GCD of 540, 774, 168, 294?
GCD of given numbers 540, 774, 168, 294 is 6
2. How to calculate the greatest common divisor of 540, 774, 168, 294?
We can find the highest common divisor of 540, 774, 168, 294 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 540, 774, 168, 294 i.e 6.
3. How can I use the GCD of 540, 774, 168, 294Calculator?
Out the numbers 540, 774, 168, 294 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.