GCD of 718, 872, 748 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 718, 872, 748 quickly. Get the easiest ways to solve the greatest common divisor of 718, 872, 748 i.e 2 in different methods as follows.
Given Input numbers are 718, 872, 748
In the factoring method, we have to find the divisors of all numbers
Divisors of 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
GCD of numbers is the greatest common divisor
So, the GCD (718, 872, 748) = 2.
Given numbers are 718, 872, 748
The list of prime factors of all numbers are
Prime factors of 718 are 2 x 359
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 748 are 2 x 2 x 11 x 17
The highest common occurrence is 21
Therefore, GCD of 718, 872, 748 is 2.
Steps to Calculate GCD of 718, 872, 748 using LCM Formula
Given numbers are 718, 872, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(718, 872) = 313048
GCD(718, 872) = ( 718 x 872 ) / 313048
= 718 / 872
= 718
Step2:
LCM(2, 748) = 748
GCD(2, 748) = ( 2 x 748 ) / 748
= 2 / 748
= 2
So, Greatest Common Divisor of 718, 872, 748 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 718, 872, 748
Given numbers are 718, 872, 748
The greatest common divisor of numbers 718, 872, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 718, 872, 748 is 2.
FAQs on GCD of 718, 872, 748 Calculator
1. What is the GCD of 718, 872, 748?
GCD of given numbers 718, 872, 748 is 2
2. How to calculate the greatest common divisor of 718, 872, 748?
We can find the highest common divisor of 718, 872, 748 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 718, 872, 748 i.e 2.
3. How can I use the GCD of 718, 872, 748Calculator?
Out the numbers 718, 872, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.