GCD of 748, 270, 260 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 748, 270, 260 quickly. Get the easiest ways to solve the greatest common divisor of 748, 270, 260 i.e 2 in different methods as follows.
Given Input numbers are 748, 270, 260
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 260 :
The positive integer divisors of 260 that completely divides 260 are.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
GCD of numbers is the greatest common divisor
So, the GCD (748, 270, 260) = 2.
Given numbers are 748, 270, 260
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 260 are 2 x 2 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 748, 270, 260 is 2.
Steps to Calculate GCD of 748, 270, 260 using LCM Formula
Given numbers are 748, 270, 260
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 270) = 100980
GCD(748, 270) = ( 748 x 270 ) / 100980
= 748 / 270
= 748
Step2:
LCM(2, 260) = 260
GCD(2, 260) = ( 2 x 260 ) / 260
= 2 / 260
= 2
So, Greatest Common Divisor of 748, 270, 260 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 748, 270, 260
Given numbers are 748, 270, 260
The greatest common divisor of numbers 748, 270, 260 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 270, 260 is 2.
FAQs on GCD of 748, 270, 260 Calculator
1. What is the GCD of 748, 270, 260?
GCD of given numbers 748, 270, 260 is 2
2. How to calculate the greatest common divisor of 748, 270, 260?
We can find the highest common divisor of 748, 270, 260 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 748, 270, 260 i.e 2.
3. How can I use the GCD of 748, 270, 260Calculator?
Out the numbers 748, 270, 260 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.