GCD of 737, 363, 792 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 737, 363, 792 quickly. Get the easiest ways to solve the greatest common divisor of 737, 363, 792 i.e 11 in different methods as follows.
Given Input numbers are 737, 363, 792
In the factoring method, we have to find the divisors of all numbers
Divisors of 737 :
The positive integer divisors of 737 that completely divides 737 are.
1, 11, 67, 737
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
GCD of numbers is the greatest common divisor
So, the GCD (737, 363, 792) = 11.
Given numbers are 737, 363, 792
The list of prime factors of all numbers are
Prime factors of 737 are 11 x 67
Prime factors of 363 are 3 x 11 x 11
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
The highest common occurrence is 111
Therefore, GCD of 737, 363, 792 is 11.
Steps to Calculate GCD of 737, 363, 792 using LCM Formula
Given numbers are 737, 363, 792
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(737, 363) = 24321
GCD(737, 363) = ( 737 x 363 ) / 24321
= 737 / 363
= 737
Step2:
LCM(11, 792) = 792
GCD(11, 792) = ( 11 x 792 ) / 792
= 11 / 792
= 11
So, Greatest Common Divisor of 737, 363, 792 is 11
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 737, 363, 792
Given numbers are 737, 363, 792
The greatest common divisor of numbers 737, 363, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 737, 363, 792 is 11.
FAQs on GCD of 737, 363, 792 Calculator
1. What is the GCD of 737, 363, 792?
GCD of given numbers 737, 363, 792 is 11
2. How to calculate the greatest common divisor of 737, 363, 792?
We can find the highest common divisor of 737, 363, 792 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 737, 363, 792 i.e 11.
3. How can I use the GCD of 737, 363, 792Calculator?
Out the numbers 737, 363, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.