GCD of 992, 665, 748 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 992, 665, 748 quickly. Get the easiest ways to solve the greatest common divisor of 992, 665, 748 i.e 1 in different methods as follows.
Given Input numbers are 992, 665, 748
In the factoring method, we have to find the divisors of all numbers
Divisors of 992 :
The positive integer divisors of 992 that completely divides 992 are.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 665 :
The positive integer divisors of 665 that completely divides 665 are.
1, 5, 7, 19, 35, 95, 133, 665
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
GCD of numbers is the greatest common divisor
So, the GCD (992, 665, 748) = 1.
Given numbers are 992, 665, 748
The list of prime factors of all numbers are
Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31
Prime factors of 665 are 5 x 7 x 19
Prime factors of 748 are 2 x 2 x 11 x 17
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 992, 665, 748 using LCM Formula
Given numbers are 992, 665, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(992, 665) = 659680
GCD(992, 665) = ( 992 x 665 ) / 659680
= 992 / 665
= 992
Step2:
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
= 1 / 748
= 1
So, Greatest Common Divisor of 992, 665, 748 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 992, 665, 748
Given numbers are 992, 665, 748
The greatest common divisor of numbers 992, 665, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 665, 748 is 1.
FAQs on GCD of 992, 665, 748 Calculator
1. What is the GCD of 992, 665, 748?
GCD of given numbers 992, 665, 748 is 1
2. How to calculate the greatest common divisor of 992, 665, 748?
We can find the highest common divisor of 992, 665, 748 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 992, 665, 748 i.e 1.
3. How can I use the GCD of 992, 665, 748Calculator?
Out the numbers 992, 665, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.