Online GCD Calculator is useful to find the GCD of 540, 125, 660, 140 quickly. Get the easiest ways to solve the greatest common divisor of 540, 125, 660, 140 i.e 5 in different methods as follows.
Given Input numbers are 540, 125, 660, 140
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 125 :
The positive integer divisors of 125 that completely divides 125 are.
1, 5, 25, 125
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (540, 125, 660, 140) = 5.
Given numbers are 540, 125, 660, 140
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 125 are 5 x 5 x 5
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 51
Therefore, GCD of 540, 125, 660, 140 is 5.
Given numbers are 540, 125, 660, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(540, 125) = 13500
GCD(540, 125) = ( 540 x 125 ) / 13500
= 540 / 125
= 540
Step2:
LCM(5, 660) = 660
GCD(5, 660) = ( 5 x 660 ) / 660
= 5 / 660
= 5
Step3:
LCM(5, 140) = 140
GCD(5, 140) = ( 5 x 140 ) / 140
= 5 / 140
= 5
So, Greatest Common Divisor of 540, 125, 660, 140 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 540, 125, 660, 140
The greatest common divisor of numbers 540, 125, 660, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 125, 660, 140 is 5.
1. What is the GCD of 540, 125, 660, 140?
GCD of given numbers 540, 125, 660, 140 is 5
2. How to calculate the greatest common divisor of 540, 125, 660, 140?
We can find the highest common divisor of 540, 125, 660, 140 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, 125, 660, 140 i.e 5.
3. How can I use the GCD of 540, 125, 660, 140Calculator?
Out the numbers 540, 125, 660, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.