Online GCD Calculator is useful to find the GCD of 540, 588, 945, 342 quickly. Get the easiest ways to solve the greatest common divisor of 540, 588, 945, 342 i.e 3 in different methods as follows.
Given Input numbers are 540, 588, 945, 342
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 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (540, 588, 945, 342) = 3.
Given numbers are 540, 588, 945, 342
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 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 540, 588, 945, 342 is 3.
Given numbers are 540, 588, 945, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(540, 588) = 26460
GCD(540, 588) = ( 540 x 588 ) / 26460
= 540 / 588
= 540
Step2:
LCM(12, 945) = 3780
GCD(12, 945) = ( 12 x 945 ) / 3780
= 12 / 945
= 12
Step3:
LCM(3, 342) = 342
GCD(3, 342) = ( 3 x 342 ) / 342
= 3 / 342
= 3
So, Greatest Common Divisor of 540, 588, 945, 342 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 540, 588, 945, 342
The greatest common divisor of numbers 540, 588, 945, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 588, 945, 342 is 3.
1. What is the GCD of 540, 588, 945, 342?
GCD of given numbers 540, 588, 945, 342 is 3
2. How to calculate the greatest common divisor of 540, 588, 945, 342?
We can find the highest common divisor of 540, 588, 945, 342 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, 588, 945, 342 i.e 3.
3. How can I use the GCD of 540, 588, 945, 342Calculator?
Out the numbers 540, 588, 945, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.