GCD of 687, 742, 54 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 687, 742, 54 quickly. Get the easiest ways to solve the greatest common divisor of 687, 742, 54 i.e 1 in different methods as follows.
Given Input numbers are 687, 742, 54
In the factoring method, we have to find the divisors of all numbers
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 54 :
The positive integer divisors of 54 that completely divides 54 are.
1, 2, 3, 6, 9, 18, 27, 54
GCD of numbers is the greatest common divisor
So, the GCD (687, 742, 54) = 1.
Given numbers are 687, 742, 54
The list of prime factors of all numbers are
Prime factors of 687 are 3 x 229
Prime factors of 742 are 2 x 7 x 53
Prime factors of 54 are 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 687, 742, 54 using LCM Formula
Given numbers are 687, 742, 54
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(687, 742) = 509754
GCD(687, 742) = ( 687 x 742 ) / 509754
= 687 / 742
= 687
Step2:
LCM(1, 54) = 54
GCD(1, 54) = ( 1 x 54 ) / 54
= 1 / 54
= 1
So, Greatest Common Divisor of 687, 742, 54 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 687, 742, 54
Given numbers are 687, 742, 54
The greatest common divisor of numbers 687, 742, 54 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 742, 54 is 1.
FAQs on GCD of 687, 742, 54 Calculator
1. What is the GCD of 687, 742, 54?
GCD of given numbers 687, 742, 54 is 1
2. How to calculate the greatest common divisor of 687, 742, 54?
We can find the highest common divisor of 687, 742, 54 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 687, 742, 54 i.e 1.
3. How can I use the GCD of 687, 742, 54Calculator?
Out the numbers 687, 742, 54 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.