Online GCD Calculator is useful to find the GCD of 988, 144, 523, 461 quickly. Get the easiest ways to solve the greatest common divisor of 988, 144, 523, 461 i.e 1 in different methods as follows.
Given Input numbers are 988, 144, 523, 461
In the factoring method, we have to find the divisors of all numbers
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 523 :
The positive integer divisors of 523 that completely divides 523 are.
1, 523
Divisors of 461 :
The positive integer divisors of 461 that completely divides 461 are.
1, 461
GCD of numbers is the greatest common divisor
So, the GCD (988, 144, 523, 461) = 1.
Given numbers are 988, 144, 523, 461
The list of prime factors of all numbers are
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 523 are 523
Prime factors of 461 are 461
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 988, 144, 523, 461
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(988, 144) = 35568
GCD(988, 144) = ( 988 x 144 ) / 35568
= 988 / 144
= 988
Step2:
LCM(4, 523) = 2092
GCD(4, 523) = ( 4 x 523 ) / 2092
= 4 / 523
= 4
Step3:
LCM(1, 461) = 461
GCD(1, 461) = ( 1 x 461 ) / 461
= 1 / 461
= 1
So, Greatest Common Divisor of 988, 144, 523, 461 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 988, 144, 523, 461
The greatest common divisor of numbers 988, 144, 523, 461 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 144, 523, 461 is 1.
1. What is the GCD of 988, 144, 523, 461?
GCD of given numbers 988, 144, 523, 461 is 1
2. How to calculate the greatest common divisor of 988, 144, 523, 461?
We can find the highest common divisor of 988, 144, 523, 461 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 988, 144, 523, 461 i.e 1.
3. How can I use the GCD of 988, 144, 523, 461Calculator?
Out the numbers 988, 144, 523, 461 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.