GCD of 542, 109, 733, 398 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 542, 109, 733, 398 quickly. Get the easiest ways to solve the greatest common divisor of 542, 109, 733, 398 i.e 1 in different methods as follows.
Given Input numbers are 542, 109, 733, 398
In the factoring method, we have to find the divisors of all numbers
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 733 :
The positive integer divisors of 733 that completely divides 733 are.
1, 733
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
GCD of numbers is the greatest common divisor
So, the GCD (542, 109, 733, 398) = 1.
Given numbers are 542, 109, 733, 398
The list of prime factors of all numbers are
Prime factors of 542 are 2 x 271
Prime factors of 109 are 109
Prime factors of 733 are 733
Prime factors of 398 are 2 x 199
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 542, 109, 733, 398 using LCM Formula
Given numbers are 542, 109, 733, 398
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(542, 109) = 59078
GCD(542, 109) = ( 542 x 109 ) / 59078
= 542 / 109
= 542
Step2:
LCM(1, 733) = 733
GCD(1, 733) = ( 1 x 733 ) / 733
= 1 / 733
= 1
Step3:
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
= 1 / 398
= 1
So, Greatest Common Divisor of 542, 109, 733, 398 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 542, 109, 733, 398
Given numbers are 542, 109, 733, 398
The greatest common divisor of numbers 542, 109, 733, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 109, 733, 398 is 1.
FAQs on GCD of 542, 109, 733, 398 Calculator
1. What is the GCD of 542, 109, 733, 398?
GCD of given numbers 542, 109, 733, 398 is 1
2. How to calculate the greatest common divisor of 542, 109, 733, 398?
We can find the highest common divisor of 542, 109, 733, 398 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 542, 109, 733, 398 i.e 1.
3. How can I use the GCD of 542, 109, 733, 398Calculator?
Out the numbers 542, 109, 733, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.