GCD of 689, 305, 757, 731 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 689, 305, 757, 731 quickly. Get the easiest ways to solve the greatest common divisor of 689, 305, 757, 731 i.e 1 in different methods as follows.
Given Input numbers are 689, 305, 757, 731
In the factoring method, we have to find the divisors of all numbers
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 305 :
The positive integer divisors of 305 that completely divides 305 are.
1, 5, 61, 305
Divisors of 757 :
The positive integer divisors of 757 that completely divides 757 are.
1, 757
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
GCD of numbers is the greatest common divisor
So, the GCD (689, 305, 757, 731) = 1.
Given numbers are 689, 305, 757, 731
The list of prime factors of all numbers are
Prime factors of 689 are 13 x 53
Prime factors of 305 are 5 x 61
Prime factors of 757 are 757
Prime factors of 731 are 17 x 43
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 689, 305, 757, 731 using LCM Formula
Given numbers are 689, 305, 757, 731
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(689, 305) = 210145
GCD(689, 305) = ( 689 x 305 ) / 210145
= 689 / 305
= 689
Step2:
LCM(1, 757) = 757
GCD(1, 757) = ( 1 x 757 ) / 757
= 1 / 757
= 1
Step3:
LCM(1, 731) = 731
GCD(1, 731) = ( 1 x 731 ) / 731
= 1 / 731
= 1
So, Greatest Common Divisor of 689, 305, 757, 731 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 689, 305, 757, 731
Given numbers are 689, 305, 757, 731
The greatest common divisor of numbers 689, 305, 757, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 305, 757, 731 is 1.
FAQs on GCD of 689, 305, 757, 731 Calculator
1. What is the GCD of 689, 305, 757, 731?
GCD of given numbers 689, 305, 757, 731 is 1
2. How to calculate the greatest common divisor of 689, 305, 757, 731?
We can find the highest common divisor of 689, 305, 757, 731 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 689, 305, 757, 731 i.e 1.
3. How can I use the GCD of 689, 305, 757, 731Calculator?
Out the numbers 689, 305, 757, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.