Online GCD Calculator is useful to find the GCD of 540, 987, 954, 378 quickly. Get the easiest ways to solve the greatest common divisor of 540, 987, 954, 378 i.e 3 in different methods as follows.
Given Input numbers are 540, 987, 954, 378
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 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 954 :
The positive integer divisors of 954 that completely divides 954 are.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD of numbers is the greatest common divisor
So, the GCD (540, 987, 954, 378) = 3.
Given numbers are 540, 987, 954, 378
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 987 are 3 x 7 x 47
Prime factors of 954 are 2 x 3 x 3 x 53
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 540, 987, 954, 378 is 3.
Given numbers are 540, 987, 954, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(540, 987) = 177660
GCD(540, 987) = ( 540 x 987 ) / 177660
= 540 / 987
= 540
Step2:
LCM(3, 954) = 954
GCD(3, 954) = ( 3 x 954 ) / 954
= 3 / 954
= 3
Step3:
LCM(3, 378) = 378
GCD(3, 378) = ( 3 x 378 ) / 378
= 3 / 378
= 3
So, Greatest Common Divisor of 540, 987, 954, 378 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 540, 987, 954, 378
The greatest common divisor of numbers 540, 987, 954, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 987, 954, 378 is 3.
1. What is the GCD of 540, 987, 954, 378?
GCD of given numbers 540, 987, 954, 378 is 3
2. How to calculate the greatest common divisor of 540, 987, 954, 378?
We can find the highest common divisor of 540, 987, 954, 378 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, 987, 954, 378 i.e 3.
3. How can I use the GCD of 540, 987, 954, 378Calculator?
Out the numbers 540, 987, 954, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.