GCD of 704, 460, 307 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 704, 460, 307 quickly. Get the easiest ways to solve the greatest common divisor of 704, 460, 307 i.e 1 in different methods as follows.
Given Input numbers are 704, 460, 307
In the factoring method, we have to find the divisors of all numbers
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 307 :
The positive integer divisors of 307 that completely divides 307 are.
1, 307
GCD of numbers is the greatest common divisor
So, the GCD (704, 460, 307) = 1.
Given numbers are 704, 460, 307
The list of prime factors of all numbers are
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 307 are 307
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 704, 460, 307 using LCM Formula
Given numbers are 704, 460, 307
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(704, 460) = 80960
GCD(704, 460) = ( 704 x 460 ) / 80960
= 704 / 460
= 704
Step2:
LCM(4, 307) = 1228
GCD(4, 307) = ( 4 x 307 ) / 1228
= 4 / 307
= 4
So, Greatest Common Divisor of 704, 460, 307 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 704, 460, 307
Given numbers are 704, 460, 307
The greatest common divisor of numbers 704, 460, 307 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 460, 307 is 1.
FAQs on GCD of 704, 460, 307 Calculator
1. What is the GCD of 704, 460, 307?
GCD of given numbers 704, 460, 307 is 1
2. How to calculate the greatest common divisor of 704, 460, 307?
We can find the highest common divisor of 704, 460, 307 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 704, 460, 307 i.e 1.
3. How can I use the GCD of 704, 460, 307Calculator?
Out the numbers 704, 460, 307 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.