Online GCD Calculator is useful to find the GCD of 150, 724, 530, 240 quickly. Get the easiest ways to solve the greatest common divisor of 150, 724, 530, 240 i.e 2 in different methods as follows.
Given Input numbers are 150, 724, 530, 240
In the factoring method, we have to find the divisors of all numbers
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 530 :
The positive integer divisors of 530 that completely divides 530 are.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
GCD of numbers is the greatest common divisor
So, the GCD (150, 724, 530, 240) = 2.
Given numbers are 150, 724, 530, 240
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 724 are 2 x 2 x 181
Prime factors of 530 are 2 x 5 x 53
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 150, 724, 530, 240 is 2.
Given numbers are 150, 724, 530, 240
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 724) = 54300
GCD(150, 724) = ( 150 x 724 ) / 54300
= 150 / 724
= 150
Step2:
LCM(2, 530) = 530
GCD(2, 530) = ( 2 x 530 ) / 530
= 2 / 530
= 2
Step3:
LCM(2, 240) = 240
GCD(2, 240) = ( 2 x 240 ) / 240
= 2 / 240
= 2
So, Greatest Common Divisor of 150, 724, 530, 240 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 724, 530, 240
The greatest common divisor of numbers 150, 724, 530, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 724, 530, 240 is 2.
1. What is the GCD of 150, 724, 530, 240?
GCD of given numbers 150, 724, 530, 240 is 2
2. How to calculate the greatest common divisor of 150, 724, 530, 240?
We can find the highest common divisor of 150, 724, 530, 240 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 150, 724, 530, 240 i.e 2.
3. How can I use the GCD of 150, 724, 530, 240Calculator?
Out the numbers 150, 724, 530, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.