Online GCD Calculator is useful to find the GCD of 540, 958, 268, 124 quickly. Get the easiest ways to solve the greatest common divisor of 540, 958, 268, 124 i.e 2 in different methods as follows.
Given Input numbers are 540, 958, 268, 124
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 958 :
The positive integer divisors of 958 that completely divides 958 are.
1, 2, 479, 958
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 124 :
The positive integer divisors of 124 that completely divides 124 are.
1, 2, 4, 31, 62, 124
GCD of numbers is the greatest common divisor
So, the GCD (540, 958, 268, 124) = 2.
Given numbers are 540, 958, 268, 124
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 958 are 2 x 479
Prime factors of 268 are 2 x 2 x 67
Prime factors of 124 are 2 x 2 x 31
The highest common occurrence is 21
Therefore, GCD of 540, 958, 268, 124 is 2.
Given numbers are 540, 958, 268, 124
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(540, 958) = 258660
GCD(540, 958) = ( 540 x 958 ) / 258660
= 540 / 958
= 540
Step2:
LCM(2, 268) = 268
GCD(2, 268) = ( 2 x 268 ) / 268
= 2 / 268
= 2
Step3:
LCM(2, 124) = 124
GCD(2, 124) = ( 2 x 124 ) / 124
= 2 / 124
= 2
So, Greatest Common Divisor of 540, 958, 268, 124 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 540, 958, 268, 124
The greatest common divisor of numbers 540, 958, 268, 124 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 958, 268, 124 is 2.
1. What is the GCD of 540, 958, 268, 124?
GCD of given numbers 540, 958, 268, 124 is 2
2. How to calculate the greatest common divisor of 540, 958, 268, 124?
We can find the highest common divisor of 540, 958, 268, 124 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, 958, 268, 124 i.e 2.
3. How can I use the GCD of 540, 958, 268, 124Calculator?
Out the numbers 540, 958, 268, 124 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.