GCD of 998, 138, 109, 649 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 998, 138, 109, 649 quickly. Get the easiest ways to solve the greatest common divisor of 998, 138, 109, 649 i.e 1 in different methods as follows.
Given Input numbers are 998, 138, 109, 649
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 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 649 :
The positive integer divisors of 649 that completely divides 649 are.
1, 11, 59, 649
GCD of numbers is the greatest common divisor
So, the GCD (998, 138, 109, 649) = 1.
Given numbers are 998, 138, 109, 649
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 138 are 2 x 3 x 23
Prime factors of 109 are 109
Prime factors of 649 are 11 x 59
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 998, 138, 109, 649 using LCM Formula
Given numbers are 998, 138, 109, 649
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 138) = 68862
GCD(998, 138) = ( 998 x 138 ) / 68862
= 998 / 138
= 998
Step2:
LCM(2, 109) = 218
GCD(2, 109) = ( 2 x 109 ) / 218
= 2 / 109
= 2
Step3:
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
= 1 / 649
= 1
So, Greatest Common Divisor of 998, 138, 109, 649 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 998, 138, 109, 649
Given numbers are 998, 138, 109, 649
The greatest common divisor of numbers 998, 138, 109, 649 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 138, 109, 649 is 1.
FAQs on GCD of 998, 138, 109, 649 Calculator
1. What is the GCD of 998, 138, 109, 649?
GCD of given numbers 998, 138, 109, 649 is 1
2. How to calculate the greatest common divisor of 998, 138, 109, 649?
We can find the highest common divisor of 998, 138, 109, 649 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, 138, 109, 649 i.e 1.
3. How can I use the GCD of 998, 138, 109, 649Calculator?
Out the numbers 998, 138, 109, 649 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.