Online GCD Calculator is useful to find the GCD of 488, 280, 71, 133 quickly. Get the easiest ways to solve the greatest common divisor of 488, 280, 71, 133 i.e 1 in different methods as follows.
Given Input numbers are 488, 280, 71, 133
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 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 71 :
The positive integer divisors of 71 that completely divides 71 are.
1, 71
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
GCD of numbers is the greatest common divisor
So, the GCD (488, 280, 71, 133) = 1.
Given numbers are 488, 280, 71, 133
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 71 are 71
Prime factors of 133 are 7 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 488, 280, 71, 133
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 280) = 17080
GCD(488, 280) = ( 488 x 280 ) / 17080
= 488 / 280
= 488
Step2:
LCM(8, 71) = 568
GCD(8, 71) = ( 8 x 71 ) / 568
= 8 / 71
= 8
Step3:
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
= 1 / 133
= 1
So, Greatest Common Divisor of 488, 280, 71, 133 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 488, 280, 71, 133
The greatest common divisor of numbers 488, 280, 71, 133 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 280, 71, 133 is 1.
1. What is the GCD of 488, 280, 71, 133?
GCD of given numbers 488, 280, 71, 133 is 1
2. How to calculate the greatest common divisor of 488, 280, 71, 133?
We can find the highest common divisor of 488, 280, 71, 133 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, 280, 71, 133 i.e 1.
3. How can I use the GCD of 488, 280, 71, 133Calculator?
Out the numbers 488, 280, 71, 133 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.