Online GCD Calculator is useful to find the GCD of 488, 730, 304, 980 quickly. Get the easiest ways to solve the greatest common divisor of 488, 730, 304, 980 i.e 2 in different methods as follows.
Given Input numbers are 488, 730, 304, 980
In the factoring method, we have to find the divisors of all numbers
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
GCD of numbers is the greatest common divisor
So, the GCD (488, 730, 304, 980) = 2.
Given numbers are 488, 730, 304, 980
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 730 are 2 x 5 x 73
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 488, 730, 304, 980 is 2.
Given numbers are 488, 730, 304, 980
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 730) = 178120
GCD(488, 730) = ( 488 x 730 ) / 178120
= 488 / 730
= 488
Step2:
LCM(2, 304) = 304
GCD(2, 304) = ( 2 x 304 ) / 304
= 2 / 304
= 2
Step3:
LCM(2, 980) = 980
GCD(2, 980) = ( 2 x 980 ) / 980
= 2 / 980
= 2
So, Greatest Common Divisor of 488, 730, 304, 980 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 488, 730, 304, 980
The greatest common divisor of numbers 488, 730, 304, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 730, 304, 980 is 2.
1. What is the GCD of 488, 730, 304, 980?
GCD of given numbers 488, 730, 304, 980 is 2
2. How to calculate the greatest common divisor of 488, 730, 304, 980?
We can find the highest common divisor of 488, 730, 304, 980 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 488, 730, 304, 980 i.e 2.
3. How can I use the GCD of 488, 730, 304, 980Calculator?
Out the numbers 488, 730, 304, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.