GCD of 784, 173, 48 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 784, 173, 48 quickly. Get the easiest ways to solve the greatest common divisor of 784, 173, 48 i.e 1 in different methods as follows.
Given Input numbers are 784, 173, 48
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 173 :
The positive integer divisors of 173 that completely divides 173 are.
1, 173
Divisors of 48 :
The positive integer divisors of 48 that completely divides 48 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
GCD of numbers is the greatest common divisor
So, the GCD (784, 173, 48) = 1.
Given numbers are 784, 173, 48
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 173 are 173
Prime factors of 48 are 2 x 2 x 2 x 2 x 3
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 784, 173, 48 using LCM Formula
Given numbers are 784, 173, 48
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(784, 173) = 135632
GCD(784, 173) = ( 784 x 173 ) / 135632
= 784 / 173
= 784
Step2:
LCM(1, 48) = 48
GCD(1, 48) = ( 1 x 48 ) / 48
= 1 / 48
= 1
So, Greatest Common Divisor of 784, 173, 48 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 784, 173, 48
Given numbers are 784, 173, 48
The greatest common divisor of numbers 784, 173, 48 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 173, 48 is 1.
FAQs on GCD of 784, 173, 48 Calculator
1. What is the GCD of 784, 173, 48?
GCD of given numbers 784, 173, 48 is 1
2. How to calculate the greatest common divisor of 784, 173, 48?
We can find the highest common divisor of 784, 173, 48 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, 173, 48 i.e 1.
3. How can I use the GCD of 784, 173, 48Calculator?
Out the numbers 784, 173, 48 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.