Online GCD Calculator is useful to find the GCD of 287, 493, 488, 142 quickly. Get the easiest ways to solve the greatest common divisor of 287, 493, 488, 142 i.e 1 in different methods as follows.
Given Input numbers are 287, 493, 488, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 287 :
The positive integer divisors of 287 that completely divides 287 are.
1, 7, 41, 287
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (287, 493, 488, 142) = 1.
Given numbers are 287, 493, 488, 142
The list of prime factors of all numbers are
Prime factors of 287 are 7 x 41
Prime factors of 493 are 17 x 29
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 142 are 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 287, 493, 488, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(287, 493) = 141491
GCD(287, 493) = ( 287 x 493 ) / 141491
= 287 / 493
= 287
Step2:
LCM(1, 488) = 488
GCD(1, 488) = ( 1 x 488 ) / 488
= 1 / 488
= 1
Step3:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
So, Greatest Common Divisor of 287, 493, 488, 142 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 287, 493, 488, 142
The greatest common divisor of numbers 287, 493, 488, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 287, 493, 488, 142 is 1.
1. What is the GCD of 287, 493, 488, 142?
GCD of given numbers 287, 493, 488, 142 is 1
2. How to calculate the greatest common divisor of 287, 493, 488, 142?
We can find the highest common divisor of 287, 493, 488, 142 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 287, 493, 488, 142 i.e 1.
3. How can I use the GCD of 287, 493, 488, 142Calculator?
Out the numbers 287, 493, 488, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.