Online GCD Calculator is useful to find the GCD of 240, 792, 586, 742 quickly. Get the easiest ways to solve the greatest common divisor of 240, 792, 586, 742 i.e 2 in different methods as follows.
Given Input numbers are 240, 792, 586, 742
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 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 586 :
The positive integer divisors of 586 that completely divides 586 are.
1, 2, 293, 586
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (240, 792, 586, 742) = 2.
Given numbers are 240, 792, 586, 742
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 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 586 are 2 x 293
Prime factors of 742 are 2 x 7 x 53
The highest common occurrence is 21
Therefore, GCD of 240, 792, 586, 742 is 2.
Given numbers are 240, 792, 586, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 792) = 7920
GCD(240, 792) = ( 240 x 792 ) / 7920
= 240 / 792
= 240
Step2:
LCM(24, 586) = 7032
GCD(24, 586) = ( 24 x 586 ) / 7032
= 24 / 586
= 24
Step3:
LCM(2, 742) = 742
GCD(2, 742) = ( 2 x 742 ) / 742
= 2 / 742
= 2
So, Greatest Common Divisor of 240, 792, 586, 742 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 240, 792, 586, 742
The greatest common divisor of numbers 240, 792, 586, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 792, 586, 742 is 2.
1. What is the GCD of 240, 792, 586, 742?
GCD of given numbers 240, 792, 586, 742 is 2
2. How to calculate the greatest common divisor of 240, 792, 586, 742?
We can find the highest common divisor of 240, 792, 586, 742 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, 792, 586, 742 i.e 2.
3. How can I use the GCD of 240, 792, 586, 742Calculator?
Out the numbers 240, 792, 586, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.