GCD of 428, 200, 784 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 428, 200, 784 quickly. Get the easiest ways to solve the greatest common divisor of 428, 200, 784 i.e 4 in different methods as follows.
Given Input numbers are 428, 200, 784
In the factoring method, we have to find the divisors of all numbers
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
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
GCD of numbers is the greatest common divisor
So, the GCD (428, 200, 784) = 4.
Given numbers are 428, 200, 784
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
The highest common occurrence is 22
Therefore, GCD of 428, 200, 784 is 4.
Steps to Calculate GCD of 428, 200, 784 using LCM Formula
Given numbers are 428, 200, 784
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 200) = 21400
GCD(428, 200) = ( 428 x 200 ) / 21400
= 428 / 200
= 428
Step2:
LCM(4, 784) = 784
GCD(4, 784) = ( 4 x 784 ) / 784
= 4 / 784
= 4
So, Greatest Common Divisor of 428, 200, 784 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 428, 200, 784
Given numbers are 428, 200, 784
The greatest common divisor of numbers 428, 200, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 200, 784 is 4.
FAQs on GCD of 428, 200, 784 Calculator
1. What is the GCD of 428, 200, 784?
GCD of given numbers 428, 200, 784 is 4
2. How to calculate the greatest common divisor of 428, 200, 784?
We can find the highest common divisor of 428, 200, 784 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 428, 200, 784 i.e 4.
3. How can I use the GCD of 428, 200, 784Calculator?
Out the numbers 428, 200, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.