GCD of 687, 135, 754 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 687, 135, 754 quickly. Get the easiest ways to solve the greatest common divisor of 687, 135, 754 i.e 1 in different methods as follows.
Given Input numbers are 687, 135, 754
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 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 754 :
The positive integer divisors of 754 that completely divides 754 are.
1, 2, 13, 26, 29, 58, 377, 754
GCD of numbers is the greatest common divisor
So, the GCD (687, 135, 754) = 1.
Given numbers are 687, 135, 754
The list of prime factors of all numbers are
Prime factors of 687 are 3 x 229
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 754 are 2 x 13 x 29
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 687, 135, 754 using LCM Formula
Given numbers are 687, 135, 754
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(687, 135) = 30915
GCD(687, 135) = ( 687 x 135 ) / 30915
= 687 / 135
= 687
Step2:
LCM(3, 754) = 2262
GCD(3, 754) = ( 3 x 754 ) / 2262
= 3 / 754
= 3
So, Greatest Common Divisor of 687, 135, 754 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 687, 135, 754
Given numbers are 687, 135, 754
The greatest common divisor of numbers 687, 135, 754 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 135, 754 is 1.
FAQs on GCD of 687, 135, 754 Calculator
1. What is the GCD of 687, 135, 754?
GCD of given numbers 687, 135, 754 is 1
2. How to calculate the greatest common divisor of 687, 135, 754?
We can find the highest common divisor of 687, 135, 754 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, 135, 754 i.e 1.
3. How can I use the GCD of 687, 135, 754Calculator?
Out the numbers 687, 135, 754 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.