GCD of 344, 764, 725 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 344, 764, 725 quickly. Get the easiest ways to solve the greatest common divisor of 344, 764, 725 i.e 1 in different methods as follows.
Given Input numbers are 344, 764, 725
In the factoring method, we have to find the divisors of all numbers
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
GCD of numbers is the greatest common divisor
So, the GCD (344, 764, 725) = 1.
Given numbers are 344, 764, 725
The list of prime factors of all numbers are
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 764 are 2 x 2 x 191
Prime factors of 725 are 5 x 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 344, 764, 725 using LCM Formula
Given numbers are 344, 764, 725
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(344, 764) = 65704
GCD(344, 764) = ( 344 x 764 ) / 65704
= 344 / 764
= 344
Step2:
LCM(4, 725) = 2900
GCD(4, 725) = ( 4 x 725 ) / 2900
= 4 / 725
= 4
So, Greatest Common Divisor of 344, 764, 725 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 344, 764, 725
Given numbers are 344, 764, 725
The greatest common divisor of numbers 344, 764, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 764, 725 is 1.
FAQs on GCD of 344, 764, 725 Calculator
1. What is the GCD of 344, 764, 725?
GCD of given numbers 344, 764, 725 is 1
2. How to calculate the greatest common divisor of 344, 764, 725?
We can find the highest common divisor of 344, 764, 725 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 344, 764, 725 i.e 1.
3. How can I use the GCD of 344, 764, 725Calculator?
Out the numbers 344, 764, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.