GCD of 998, 257, 72, 123 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 998, 257, 72, 123 quickly. Get the easiest ways to solve the greatest common divisor of 998, 257, 72, 123 i.e 1 in different methods as follows.
Given Input numbers are 998, 257, 72, 123
In the factoring method, we have to find the divisors of all numbers
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 257 :
The positive integer divisors of 257 that completely divides 257 are.
1, 257
Divisors of 72 :
The positive integer divisors of 72 that completely divides 72 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
GCD of numbers is the greatest common divisor
So, the GCD (998, 257, 72, 123) = 1.
Given numbers are 998, 257, 72, 123
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 257 are 257
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
Prime factors of 123 are 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 998, 257, 72, 123 using LCM Formula
Given numbers are 998, 257, 72, 123
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 257) = 256486
GCD(998, 257) = ( 998 x 257 ) / 256486
= 998 / 257
= 998
Step2:
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
= 1 / 72
= 1
Step3:
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
= 1 / 123
= 1
So, Greatest Common Divisor of 998, 257, 72, 123 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 998, 257, 72, 123
Given numbers are 998, 257, 72, 123
The greatest common divisor of numbers 998, 257, 72, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 257, 72, 123 is 1.
FAQs on GCD of 998, 257, 72, 123 Calculator
1. What is the GCD of 998, 257, 72, 123?
GCD of given numbers 998, 257, 72, 123 is 1
2. How to calculate the greatest common divisor of 998, 257, 72, 123?
We can find the highest common divisor of 998, 257, 72, 123 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 998, 257, 72, 123 i.e 1.
3. How can I use the GCD of 998, 257, 72, 123Calculator?
Out the numbers 998, 257, 72, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.