GCD of 498, 694, 743 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 498, 694, 743 quickly. Get the easiest ways to solve the greatest common divisor of 498, 694, 743 i.e 1 in different methods as follows.
Given Input numbers are 498, 694, 743
In the factoring method, we have to find the divisors of all numbers
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
Divisors of 743 :
The positive integer divisors of 743 that completely divides 743 are.
1, 743
GCD of numbers is the greatest common divisor
So, the GCD (498, 694, 743) = 1.
Given numbers are 498, 694, 743
The list of prime factors of all numbers are
Prime factors of 498 are 2 x 3 x 83
Prime factors of 694 are 2 x 347
Prime factors of 743 are 743
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 498, 694, 743 using LCM Formula
Given numbers are 498, 694, 743
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(498, 694) = 172806
GCD(498, 694) = ( 498 x 694 ) / 172806
= 498 / 694
= 498
Step2:
LCM(2, 743) = 1486
GCD(2, 743) = ( 2 x 743 ) / 1486
= 2 / 743
= 2
So, Greatest Common Divisor of 498, 694, 743 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 498, 694, 743
Given numbers are 498, 694, 743
The greatest common divisor of numbers 498, 694, 743 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 694, 743 is 1.
FAQs on GCD of 498, 694, 743 Calculator
1. What is the GCD of 498, 694, 743?
GCD of given numbers 498, 694, 743 is 1
2. How to calculate the greatest common divisor of 498, 694, 743?
We can find the highest common divisor of 498, 694, 743 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 498, 694, 743 i.e 1.
3. How can I use the GCD of 498, 694, 743Calculator?
Out the numbers 498, 694, 743 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.