GCD of 750, 960, 289 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 750, 960, 289 quickly. Get the easiest ways to solve the greatest common divisor of 750, 960, 289 i.e 1 in different methods as follows.
Given Input numbers are 750, 960, 289
In the factoring method, we have to find the divisors of all numbers
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
GCD of numbers is the greatest common divisor
So, the GCD (750, 960, 289) = 1.
Given numbers are 750, 960, 289
The list of prime factors of all numbers are
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 289 are 17 x 17
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 750, 960, 289 using LCM Formula
Given numbers are 750, 960, 289
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(750, 960) = 24000
GCD(750, 960) = ( 750 x 960 ) / 24000
= 750 / 960
= 750
Step2:
LCM(30, 289) = 8670
GCD(30, 289) = ( 30 x 289 ) / 8670
= 30 / 289
= 30
So, Greatest Common Divisor of 750, 960, 289 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 750, 960, 289
Given numbers are 750, 960, 289
The greatest common divisor of numbers 750, 960, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 960, 289 is 1.
FAQs on GCD of 750, 960, 289 Calculator
1. What is the GCD of 750, 960, 289?
GCD of given numbers 750, 960, 289 is 1
2. How to calculate the greatest common divisor of 750, 960, 289?
We can find the highest common divisor of 750, 960, 289 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 750, 960, 289 i.e 1.
3. How can I use the GCD of 750, 960, 289Calculator?
Out the numbers 750, 960, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.