Online GCD Calculator is useful to find the GCD of 120, 540, 750, 251 quickly. Get the easiest ways to solve the greatest common divisor of 120, 540, 750, 251 i.e 1 in different methods as follows.
Given Input numbers are 120, 540, 750, 251
In the factoring method, we have to find the divisors of all numbers
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
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 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 251 :
The positive integer divisors of 251 that completely divides 251 are.
1, 251
GCD of numbers is the greatest common divisor
So, the GCD (120, 540, 750, 251) = 1.
Given numbers are 120, 540, 750, 251
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 251 are 251
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 540, 750, 251
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 540) = 1080
GCD(120, 540) = ( 120 x 540 ) / 1080
= 120 / 540
= 120
Step2:
LCM(60, 750) = 1500
GCD(60, 750) = ( 60 x 750 ) / 1500
= 60 / 750
= 60
Step3:
LCM(30, 251) = 7530
GCD(30, 251) = ( 30 x 251 ) / 7530
= 30 / 251
= 30
So, Greatest Common Divisor of 120, 540, 750, 251 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 540, 750, 251
The greatest common divisor of numbers 120, 540, 750, 251 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 540, 750, 251 is 1.
1. What is the GCD of 120, 540, 750, 251?
GCD of given numbers 120, 540, 750, 251 is 1
2. How to calculate the greatest common divisor of 120, 540, 750, 251?
We can find the highest common divisor of 120, 540, 750, 251 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 120, 540, 750, 251 i.e 1.
3. How can I use the GCD of 120, 540, 750, 251Calculator?
Out the numbers 120, 540, 750, 251 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.