GCD of 644, 735, 960 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 644, 735, 960 quickly. Get the easiest ways to solve the greatest common divisor of 644, 735, 960 i.e 1 in different methods as follows.
Given Input numbers are 644, 735, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
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
GCD of numbers is the greatest common divisor
So, the GCD (644, 735, 960) = 1.
Given numbers are 644, 735, 960
The list of prime factors of all numbers are
Prime factors of 644 are 2 x 2 x 7 x 23
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 644, 735, 960 using LCM Formula
Given numbers are 644, 735, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(644, 735) = 67620
GCD(644, 735) = ( 644 x 735 ) / 67620
= 644 / 735
= 644
Step2:
LCM(7, 960) = 6720
GCD(7, 960) = ( 7 x 960 ) / 6720
= 7 / 960
= 7
So, Greatest Common Divisor of 644, 735, 960 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 644, 735, 960
Given numbers are 644, 735, 960
The greatest common divisor of numbers 644, 735, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 644, 735, 960 is 1.
FAQs on GCD of 644, 735, 960 Calculator
1. What is the GCD of 644, 735, 960?
GCD of given numbers 644, 735, 960 is 1
2. How to calculate the greatest common divisor of 644, 735, 960?
We can find the highest common divisor of 644, 735, 960 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 644, 735, 960 i.e 1.
3. How can I use the GCD of 644, 735, 960Calculator?
Out the numbers 644, 735, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.