GCD of 784, 342, 708 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 784, 342, 708 quickly. Get the easiest ways to solve the greatest common divisor of 784, 342, 708 i.e 2 in different methods as follows.
Given Input numbers are 784, 342, 708
In the factoring method, we have to find the divisors of all numbers
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 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
GCD of numbers is the greatest common divisor
So, the GCD (784, 342, 708) = 2.
Given numbers are 784, 342, 708
The list of prime factors of all numbers are
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 708 are 2 x 2 x 3 x 59
The highest common occurrence is 21
Therefore, GCD of 784, 342, 708 is 2.
Steps to Calculate GCD of 784, 342, 708 using LCM Formula
Given numbers are 784, 342, 708
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(784, 342) = 134064
GCD(784, 342) = ( 784 x 342 ) / 134064
= 784 / 342
= 784
Step2:
LCM(2, 708) = 708
GCD(2, 708) = ( 2 x 708 ) / 708
= 2 / 708
= 2
So, Greatest Common Divisor of 784, 342, 708 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 784, 342, 708
Given numbers are 784, 342, 708
The greatest common divisor of numbers 784, 342, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 342, 708 is 2.
FAQs on GCD of 784, 342, 708 Calculator
1. What is the GCD of 784, 342, 708?
GCD of given numbers 784, 342, 708 is 2
2. How to calculate the greatest common divisor of 784, 342, 708?
We can find the highest common divisor of 784, 342, 708 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 784, 342, 708 i.e 2.
3. How can I use the GCD of 784, 342, 708Calculator?
Out the numbers 784, 342, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.