Online GCD Calculator is useful to find the GCD of 584, 106, 738, 880 quickly. Get the easiest ways to solve the greatest common divisor of 584, 106, 738, 880 i.e 2 in different methods as follows.
Given Input numbers are 584, 106, 738, 880
In the factoring method, we have to find the divisors of all numbers
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
GCD of numbers is the greatest common divisor
So, the GCD (584, 106, 738, 880) = 2.
Given numbers are 584, 106, 738, 880
The list of prime factors of all numbers are
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 106 are 2 x 53
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 584, 106, 738, 880 is 2.
Given numbers are 584, 106, 738, 880
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(584, 106) = 30952
GCD(584, 106) = ( 584 x 106 ) / 30952
= 584 / 106
= 584
Step2:
LCM(2, 738) = 738
GCD(2, 738) = ( 2 x 738 ) / 738
= 2 / 738
= 2
Step3:
LCM(2, 880) = 880
GCD(2, 880) = ( 2 x 880 ) / 880
= 2 / 880
= 2
So, Greatest Common Divisor of 584, 106, 738, 880 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 584, 106, 738, 880
The greatest common divisor of numbers 584, 106, 738, 880 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 106, 738, 880 is 2.
1. What is the GCD of 584, 106, 738, 880?
GCD of given numbers 584, 106, 738, 880 is 2
2. How to calculate the greatest common divisor of 584, 106, 738, 880?
We can find the highest common divisor of 584, 106, 738, 880 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 584, 106, 738, 880 i.e 2.
3. How can I use the GCD of 584, 106, 738, 880Calculator?
Out the numbers 584, 106, 738, 880 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.