GCD of 748, 759, 396 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 748, 759, 396 quickly. Get the easiest ways to solve the greatest common divisor of 748, 759, 396 i.e 11 in different methods as follows.
Given Input numbers are 748, 759, 396
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
GCD of numbers is the greatest common divisor
So, the GCD (748, 759, 396) = 11.
Given numbers are 748, 759, 396
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 759 are 3 x 11 x 23
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
The highest common occurrence is 111
Therefore, GCD of 748, 759, 396 is 11.
Steps to Calculate GCD of 748, 759, 396 using LCM Formula
Given numbers are 748, 759, 396
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 759) = 51612
GCD(748, 759) = ( 748 x 759 ) / 51612
= 748 / 759
= 748
Step2:
LCM(11, 396) = 396
GCD(11, 396) = ( 11 x 396 ) / 396
= 11 / 396
= 11
So, Greatest Common Divisor of 748, 759, 396 is 11
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 748, 759, 396
Given numbers are 748, 759, 396
The greatest common divisor of numbers 748, 759, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 759, 396 is 11.
FAQs on GCD of 748, 759, 396 Calculator
1. What is the GCD of 748, 759, 396?
GCD of given numbers 748, 759, 396 is 11
2. How to calculate the greatest common divisor of 748, 759, 396?
We can find the highest common divisor of 748, 759, 396 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 748, 759, 396 i.e 11.
3. How can I use the GCD of 748, 759, 396Calculator?
Out the numbers 748, 759, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.