GCD of 416, 784, 364 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 416, 784, 364 quickly. Get the easiest ways to solve the greatest common divisor of 416, 784, 364 i.e 4 in different methods as follows.
Given Input numbers are 416, 784, 364
In the factoring method, we have to find the divisors of all numbers
Divisors of 416 :
The positive integer divisors of 416 that completely divides 416 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
GCD of numbers is the greatest common divisor
So, the GCD (416, 784, 364) = 4.
Given numbers are 416, 784, 364
The list of prime factors of all numbers are
Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 364 are 2 x 2 x 7 x 13
The highest common occurrence is 22
Therefore, GCD of 416, 784, 364 is 4.
Steps to Calculate GCD of 416, 784, 364 using LCM Formula
Given numbers are 416, 784, 364
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(416, 784) = 20384
GCD(416, 784) = ( 416 x 784 ) / 20384
= 416 / 784
= 416
Step2:
LCM(16, 364) = 1456
GCD(16, 364) = ( 16 x 364 ) / 1456
= 16 / 364
= 16
So, Greatest Common Divisor of 416, 784, 364 is 4
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 416, 784, 364
Given numbers are 416, 784, 364
The greatest common divisor of numbers 416, 784, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 416, 784, 364 is 4.
FAQs on GCD of 416, 784, 364 Calculator
1. What is the GCD of 416, 784, 364?
GCD of given numbers 416, 784, 364 is 4
2. How to calculate the greatest common divisor of 416, 784, 364?
We can find the highest common divisor of 416, 784, 364 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 416, 784, 364 i.e 4.
3. How can I use the GCD of 416, 784, 364Calculator?
Out the numbers 416, 784, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.