GCD of 742, 460, 396 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 742, 460, 396 quickly. Get the easiest ways to solve the greatest common divisor of 742, 460, 396 i.e 2 in different methods as follows.
Given Input numbers are 742, 460, 396
In the factoring method, we have to find the divisors of all numbers
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
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 (742, 460, 396) = 2.
Given numbers are 742, 460, 396
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 742, 460, 396 is 2.
Steps to Calculate GCD of 742, 460, 396 using LCM Formula
Given numbers are 742, 460, 396
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 460) = 170660
GCD(742, 460) = ( 742 x 460 ) / 170660
= 742 / 460
= 742
Step2:
LCM(2, 396) = 396
GCD(2, 396) = ( 2 x 396 ) / 396
= 2 / 396
= 2
So, Greatest Common Divisor of 742, 460, 396 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 742, 460, 396
Given numbers are 742, 460, 396
The greatest common divisor of numbers 742, 460, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 460, 396 is 2.
FAQs on GCD of 742, 460, 396 Calculator
1. What is the GCD of 742, 460, 396?
GCD of given numbers 742, 460, 396 is 2
2. How to calculate the greatest common divisor of 742, 460, 396?
We can find the highest common divisor of 742, 460, 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 742, 460, 396 i.e 2.
3. How can I use the GCD of 742, 460, 396Calculator?
Out the numbers 742, 460, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.