Online GCD Calculator is useful to find the GCD of 758, 904, 720, 284 quickly. Get the easiest ways to solve the greatest common divisor of 758, 904, 720, 284 i.e 2 in different methods as follows.
Given Input numbers are 758, 904, 720, 284
In the factoring method, we have to find the divisors of all numbers
Divisors of 758 :
The positive integer divisors of 758 that completely divides 758 are.
1, 2, 379, 758
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
GCD of numbers is the greatest common divisor
So, the GCD (758, 904, 720, 284) = 2.
Given numbers are 758, 904, 720, 284
The list of prime factors of all numbers are
Prime factors of 758 are 2 x 379
Prime factors of 904 are 2 x 2 x 2 x 113
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 284 are 2 x 2 x 71
The highest common occurrence is 21
Therefore, GCD of 758, 904, 720, 284 is 2.
Given numbers are 758, 904, 720, 284
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(758, 904) = 342616
GCD(758, 904) = ( 758 x 904 ) / 342616
= 758 / 904
= 758
Step2:
LCM(2, 720) = 720
GCD(2, 720) = ( 2 x 720 ) / 720
= 2 / 720
= 2
Step3:
LCM(2, 284) = 284
GCD(2, 284) = ( 2 x 284 ) / 284
= 2 / 284
= 2
So, Greatest Common Divisor of 758, 904, 720, 284 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 758, 904, 720, 284
The greatest common divisor of numbers 758, 904, 720, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 758, 904, 720, 284 is 2.
1. What is the GCD of 758, 904, 720, 284?
GCD of given numbers 758, 904, 720, 284 is 2
2. How to calculate the greatest common divisor of 758, 904, 720, 284?
We can find the highest common divisor of 758, 904, 720, 284 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 758, 904, 720, 284 i.e 2.
3. How can I use the GCD of 758, 904, 720, 284Calculator?
Out the numbers 758, 904, 720, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.