Online GCD Calculator is useful to find the GCD of 438, 296, 760, 580 quickly. Get the easiest ways to solve the greatest common divisor of 438, 296, 760, 580 i.e 2 in different methods as follows.
Given Input numbers are 438, 296, 760, 580
In the factoring method, we have to find the divisors of all numbers
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 296 :
The positive integer divisors of 296 that completely divides 296 are.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
GCD of numbers is the greatest common divisor
So, the GCD (438, 296, 760, 580) = 2.
Given numbers are 438, 296, 760, 580
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
Prime factors of 296 are 2 x 2 x 2 x 37
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 580 are 2 x 2 x 5 x 29
The highest common occurrence is 21
Therefore, GCD of 438, 296, 760, 580 is 2.
Given numbers are 438, 296, 760, 580
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(438, 296) = 64824
GCD(438, 296) = ( 438 x 296 ) / 64824
= 438 / 296
= 438
Step2:
LCM(2, 760) = 760
GCD(2, 760) = ( 2 x 760 ) / 760
= 2 / 760
= 2
Step3:
LCM(2, 580) = 580
GCD(2, 580) = ( 2 x 580 ) / 580
= 2 / 580
= 2
So, Greatest Common Divisor of 438, 296, 760, 580 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 438, 296, 760, 580
The greatest common divisor of numbers 438, 296, 760, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 296, 760, 580 is 2.
1. What is the GCD of 438, 296, 760, 580?
GCD of given numbers 438, 296, 760, 580 is 2
2. How to calculate the greatest common divisor of 438, 296, 760, 580?
We can find the highest common divisor of 438, 296, 760, 580 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 438, 296, 760, 580 i.e 2.
3. How can I use the GCD of 438, 296, 760, 580Calculator?
Out the numbers 438, 296, 760, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.