GCD of 264, 722, 748 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 264, 722, 748 quickly. Get the easiest ways to solve the greatest common divisor of 264, 722, 748 i.e 2 in different methods as follows.
Given Input numbers are 264, 722, 748
In the factoring method, we have to find the divisors of all numbers
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
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 (264, 722, 748) = 2.
Given numbers are 264, 722, 748
The list of prime factors of all numbers are
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 722 are 2 x 19 x 19
Prime factors of 748 are 2 x 2 x 11 x 17
The highest common occurrence is 21
Therefore, GCD of 264, 722, 748 is 2.
Steps to Calculate GCD of 264, 722, 748 using LCM Formula
Given numbers are 264, 722, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(264, 722) = 95304
GCD(264, 722) = ( 264 x 722 ) / 95304
= 264 / 722
= 264
Step2:
LCM(2, 748) = 748
GCD(2, 748) = ( 2 x 748 ) / 748
= 2 / 748
= 2
So, Greatest Common Divisor of 264, 722, 748 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 264, 722, 748
Given numbers are 264, 722, 748
The greatest common divisor of numbers 264, 722, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 722, 748 is 2.
FAQs on GCD of 264, 722, 748 Calculator
1. What is the GCD of 264, 722, 748?
GCD of given numbers 264, 722, 748 is 2
2. How to calculate the greatest common divisor of 264, 722, 748?
We can find the highest common divisor of 264, 722, 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 264, 722, 748 i.e 2.
3. How can I use the GCD of 264, 722, 748Calculator?
Out the numbers 264, 722, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.