GCD of 737, 660, 297 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 737, 660, 297 quickly. Get the easiest ways to solve the greatest common divisor of 737, 660, 297 i.e 11 in different methods as follows.
Given Input numbers are 737, 660, 297
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 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
GCD of numbers is the greatest common divisor
So, the GCD (737, 660, 297) = 11.
Given numbers are 737, 660, 297
The list of prime factors of all numbers are
Prime factors of 737 are 11 x 67
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 297 are 3 x 3 x 3 x 11
The highest common occurrence is 111
Therefore, GCD of 737, 660, 297 is 11.
Steps to Calculate GCD of 737, 660, 297 using LCM Formula
Given numbers are 737, 660, 297
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(737, 660) = 44220
GCD(737, 660) = ( 737 x 660 ) / 44220
= 737 / 660
= 737
Step2:
LCM(11, 297) = 297
GCD(11, 297) = ( 11 x 297 ) / 297
= 11 / 297
= 11
So, Greatest Common Divisor of 737, 660, 297 is 11
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 737, 660, 297
Given numbers are 737, 660, 297
The greatest common divisor of numbers 737, 660, 297 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 737, 660, 297 is 11.
FAQs on GCD of 737, 660, 297 Calculator
1. What is the GCD of 737, 660, 297?
GCD of given numbers 737, 660, 297 is 11
2. How to calculate the greatest common divisor of 737, 660, 297?
We can find the highest common divisor of 737, 660, 297 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, 660, 297 i.e 11.
3. How can I use the GCD of 737, 660, 297Calculator?
Out the numbers 737, 660, 297 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.