GCD of 650, 760, 728 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 650, 760, 728 quickly. Get the easiest ways to solve the greatest common divisor of 650, 760, 728 i.e 2 in different methods as follows.
Given Input numbers are 650, 760, 728
In the factoring method, we have to find the divisors of all numbers
Divisors of 650 :
The positive integer divisors of 650 that completely divides 650 are.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
GCD of numbers is the greatest common divisor
So, the GCD (650, 760, 728) = 2.
Given numbers are 650, 760, 728
The list of prime factors of all numbers are
Prime factors of 650 are 2 x 5 x 5 x 13
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
The highest common occurrence is 21
Therefore, GCD of 650, 760, 728 is 2.
Steps to Calculate GCD of 650, 760, 728 using LCM Formula
Given numbers are 650, 760, 728
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(650, 760) = 49400
GCD(650, 760) = ( 650 x 760 ) / 49400
= 650 / 760
= 650
Step2:
LCM(10, 728) = 3640
GCD(10, 728) = ( 10 x 728 ) / 3640
= 10 / 728
= 10
So, Greatest Common Divisor of 650, 760, 728 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 650, 760, 728
Given numbers are 650, 760, 728
The greatest common divisor of numbers 650, 760, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 650, 760, 728 is 2.
FAQs on GCD of 650, 760, 728 Calculator
1. What is the GCD of 650, 760, 728?
GCD of given numbers 650, 760, 728 is 2
2. How to calculate the greatest common divisor of 650, 760, 728?
We can find the highest common divisor of 650, 760, 728 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 650, 760, 728 i.e 2.
3. How can I use the GCD of 650, 760, 728Calculator?
Out the numbers 650, 760, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.