Online GCD Calculator is useful to find the GCD of 488, 563, 135, 142 quickly. Get the easiest ways to solve the greatest common divisor of 488, 563, 135, 142 i.e 1 in different methods as follows.
Given Input numbers are 488, 563, 135, 142
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 563 :
The positive integer divisors of 563 that completely divides 563 are.
1, 563
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
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 (488, 563, 135, 142) = 1.
Given numbers are 488, 563, 135, 142
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 563 are 563
Prime factors of 135 are 3 x 3 x 3 x 5
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 488, 563, 135, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 563) = 274744
GCD(488, 563) = ( 488 x 563 ) / 274744
= 488 / 563
= 488
Step2:
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
= 1 / 135
= 1
Step3:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
So, Greatest Common Divisor of 488, 563, 135, 142 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 488, 563, 135, 142
The greatest common divisor of numbers 488, 563, 135, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 563, 135, 142 is 1.
1. What is the GCD of 488, 563, 135, 142?
GCD of given numbers 488, 563, 135, 142 is 1
2. How to calculate the greatest common divisor of 488, 563, 135, 142?
We can find the highest common divisor of 488, 563, 135, 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 488, 563, 135, 142 i.e 1.
3. How can I use the GCD of 488, 563, 135, 142Calculator?
Out the numbers 488, 563, 135, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.