GCD of 672, 104, 724 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 672, 104, 724 quickly. Get the easiest ways to solve the greatest common divisor of 672, 104, 724 i.e 4 in different methods as follows.
Given Input numbers are 672, 104, 724
In the factoring method, we have to find the divisors of all numbers
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
GCD of numbers is the greatest common divisor
So, the GCD (672, 104, 724) = 4.
Given numbers are 672, 104, 724
The list of prime factors of all numbers are
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 724 are 2 x 2 x 181
The highest common occurrence is 22
Therefore, GCD of 672, 104, 724 is 4.
Steps to Calculate GCD of 672, 104, 724 using LCM Formula
Given numbers are 672, 104, 724
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(672, 104) = 8736
GCD(672, 104) = ( 672 x 104 ) / 8736
= 672 / 104
= 672
Step2:
LCM(8, 724) = 1448
GCD(8, 724) = ( 8 x 724 ) / 1448
= 8 / 724
= 8
So, Greatest Common Divisor of 672, 104, 724 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 672, 104, 724
Given numbers are 672, 104, 724
The greatest common divisor of numbers 672, 104, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 104, 724 is 4.
FAQs on GCD of 672, 104, 724 Calculator
1. What is the GCD of 672, 104, 724?
GCD of given numbers 672, 104, 724 is 4
2. How to calculate the greatest common divisor of 672, 104, 724?
We can find the highest common divisor of 672, 104, 724 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 672, 104, 724 i.e 4.
3. How can I use the GCD of 672, 104, 724Calculator?
Out the numbers 672, 104, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.