GCD of 734, 494, 687, 123 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 734, 494, 687, 123 quickly. Get the easiest ways to solve the greatest common divisor of 734, 494, 687, 123 i.e 1 in different methods as follows.
Given Input numbers are 734, 494, 687, 123
In the factoring method, we have to find the divisors of all numbers
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
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 (734, 494, 687, 123) = 1.
Given numbers are 734, 494, 687, 123
The list of prime factors of all numbers are
Prime factors of 734 are 2 x 367
Prime factors of 494 are 2 x 13 x 19
Prime factors of 687 are 3 x 229
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 734, 494, 687, 123 using LCM Formula
Given numbers are 734, 494, 687, 123
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(734, 494) = 181298
GCD(734, 494) = ( 734 x 494 ) / 181298
= 734 / 494
= 734
Step2:
LCM(2, 687) = 1374
GCD(2, 687) = ( 2 x 687 ) / 1374
= 2 / 687
= 2
Step3:
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
= 1 / 123
= 1
So, Greatest Common Divisor of 734, 494, 687, 123 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 734, 494, 687, 123
Given numbers are 734, 494, 687, 123
The greatest common divisor of numbers 734, 494, 687, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 494, 687, 123 is 1.
FAQs on GCD of 734, 494, 687, 123 Calculator
1. What is the GCD of 734, 494, 687, 123?
GCD of given numbers 734, 494, 687, 123 is 1
2. How to calculate the greatest common divisor of 734, 494, 687, 123?
We can find the highest common divisor of 734, 494, 687, 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 734, 494, 687, 123 i.e 1.
3. How can I use the GCD of 734, 494, 687, 123Calculator?
Out the numbers 734, 494, 687, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.