GCD of 396, 692, 780 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 396, 692, 780 quickly. Get the easiest ways to solve the greatest common divisor of 396, 692, 780 i.e 4 in different methods as follows.
Given Input numbers are 396, 692, 780
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
GCD of numbers is the greatest common divisor
So, the GCD (396, 692, 780) = 4.
Given numbers are 396, 692, 780
The list of prime factors of all numbers are
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 692 are 2 x 2 x 173
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
The highest common occurrence is 22
Therefore, GCD of 396, 692, 780 is 4.
Steps to Calculate GCD of 396, 692, 780 using LCM Formula
Given numbers are 396, 692, 780
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(396, 692) = 68508
GCD(396, 692) = ( 396 x 692 ) / 68508
= 396 / 692
= 396
Step2:
LCM(4, 780) = 780
GCD(4, 780) = ( 4 x 780 ) / 780
= 4 / 780
= 4
So, Greatest Common Divisor of 396, 692, 780 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 396, 692, 780
Given numbers are 396, 692, 780
The greatest common divisor of numbers 396, 692, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 692, 780 is 4.
FAQs on GCD of 396, 692, 780 Calculator
1. What is the GCD of 396, 692, 780?
GCD of given numbers 396, 692, 780 is 4
2. How to calculate the greatest common divisor of 396, 692, 780?
We can find the highest common divisor of 396, 692, 780 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 396, 692, 780 i.e 4.
3. How can I use the GCD of 396, 692, 780Calculator?
Out the numbers 396, 692, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.