Online GCD Calculator is useful to find the GCD of 240, 406, 708, 372 quickly. Get the easiest ways to solve the greatest common divisor of 240, 406, 708, 372 i.e 2 in different methods as follows.
Given Input numbers are 240, 406, 708, 372
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 406 :
The positive integer divisors of 406 that completely divides 406 are.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
GCD of numbers is the greatest common divisor
So, the GCD (240, 406, 708, 372) = 2.
Given numbers are 240, 406, 708, 372
The list of prime factors of all numbers are
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 406 are 2 x 7 x 29
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 372 are 2 x 2 x 3 x 31
The highest common occurrence is 21
Therefore, GCD of 240, 406, 708, 372 is 2.
Given numbers are 240, 406, 708, 372
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 406) = 48720
GCD(240, 406) = ( 240 x 406 ) / 48720
= 240 / 406
= 240
Step2:
LCM(2, 708) = 708
GCD(2, 708) = ( 2 x 708 ) / 708
= 2 / 708
= 2
Step3:
LCM(2, 372) = 372
GCD(2, 372) = ( 2 x 372 ) / 372
= 2 / 372
= 2
So, Greatest Common Divisor of 240, 406, 708, 372 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 240, 406, 708, 372
The greatest common divisor of numbers 240, 406, 708, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 406, 708, 372 is 2.
1. What is the GCD of 240, 406, 708, 372?
GCD of given numbers 240, 406, 708, 372 is 2
2. How to calculate the greatest common divisor of 240, 406, 708, 372?
We can find the highest common divisor of 240, 406, 708, 372 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 240, 406, 708, 372 i.e 2.
3. How can I use the GCD of 240, 406, 708, 372Calculator?
Out the numbers 240, 406, 708, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.