GCD of 732, 960, 553 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 732, 960, 553 quickly. Get the easiest ways to solve the greatest common divisor of 732, 960, 553 i.e 1 in different methods as follows.
Given Input numbers are 732, 960, 553
In the factoring method, we have to find the divisors of all numbers
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
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 553 :
The positive integer divisors of 553 that completely divides 553 are.
1, 7, 79, 553
GCD of numbers is the greatest common divisor
So, the GCD (732, 960, 553) = 1.
Given numbers are 732, 960, 553
The list of prime factors of all numbers are
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 553 are 7 x 79
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 732, 960, 553 using LCM Formula
Given numbers are 732, 960, 553
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(732, 960) = 58560
GCD(732, 960) = ( 732 x 960 ) / 58560
= 732 / 960
= 732
Step2:
LCM(12, 553) = 6636
GCD(12, 553) = ( 12 x 553 ) / 6636
= 12 / 553
= 12
So, Greatest Common Divisor of 732, 960, 553 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 732, 960, 553
Given numbers are 732, 960, 553
The greatest common divisor of numbers 732, 960, 553 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 960, 553 is 1.
FAQs on GCD of 732, 960, 553 Calculator
1. What is the GCD of 732, 960, 553?
GCD of given numbers 732, 960, 553 is 1
2. How to calculate the greatest common divisor of 732, 960, 553?
We can find the highest common divisor of 732, 960, 553 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 732, 960, 553 i.e 1.
3. How can I use the GCD of 732, 960, 553Calculator?
Out the numbers 732, 960, 553 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.