GCD of 104, 704, 220 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 104, 704, 220 quickly. Get the easiest ways to solve the greatest common divisor of 104, 704, 220 i.e 4 in different methods as follows.
Given Input numbers are 104, 704, 220
In the factoring method, we have to find the divisors of all numbers
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
GCD of numbers is the greatest common divisor
So, the GCD (104, 704, 220) = 4.
Given numbers are 104, 704, 220
The list of prime factors of all numbers are
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 220 are 2 x 2 x 5 x 11
The highest common occurrence is 22
Therefore, GCD of 104, 704, 220 is 4.
Steps to Calculate GCD of 104, 704, 220 using LCM Formula
Given numbers are 104, 704, 220
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(104, 704) = 9152
GCD(104, 704) = ( 104 x 704 ) / 9152
= 104 / 704
= 104
Step2:
LCM(8, 220) = 440
GCD(8, 220) = ( 8 x 220 ) / 440
= 8 / 220
= 8
So, Greatest Common Divisor of 104, 704, 220 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 104, 704, 220
Given numbers are 104, 704, 220
The greatest common divisor of numbers 104, 704, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 704, 220 is 4.
FAQs on GCD of 104, 704, 220 Calculator
1. What is the GCD of 104, 704, 220?
GCD of given numbers 104, 704, 220 is 4
2. How to calculate the greatest common divisor of 104, 704, 220?
We can find the highest common divisor of 104, 704, 220 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 104, 704, 220 i.e 4.
3. How can I use the GCD of 104, 704, 220Calculator?
Out the numbers 104, 704, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.