GCD of 289, 748, 278 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 289, 748, 278 quickly. Get the easiest ways to solve the greatest common divisor of 289, 748, 278 i.e 1 in different methods as follows.
Given Input numbers are 289, 748, 278
In the factoring method, we have to find the divisors of all numbers
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
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 278 :
The positive integer divisors of 278 that completely divides 278 are.
1, 2, 139, 278
GCD of numbers is the greatest common divisor
So, the GCD (289, 748, 278) = 1.
Given numbers are 289, 748, 278
The list of prime factors of all numbers are
Prime factors of 289 are 17 x 17
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 278 are 2 x 139
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 289, 748, 278 using LCM Formula
Given numbers are 289, 748, 278
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(289, 748) = 12716
GCD(289, 748) = ( 289 x 748 ) / 12716
= 289 / 748
= 289
Step2:
LCM(17, 278) = 4726
GCD(17, 278) = ( 17 x 278 ) / 4726
= 17 / 278
= 17
So, Greatest Common Divisor of 289, 748, 278 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 289, 748, 278
Given numbers are 289, 748, 278
The greatest common divisor of numbers 289, 748, 278 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 748, 278 is 1.
FAQs on GCD of 289, 748, 278 Calculator
1. What is the GCD of 289, 748, 278?
GCD of given numbers 289, 748, 278 is 1
2. How to calculate the greatest common divisor of 289, 748, 278?
We can find the highest common divisor of 289, 748, 278 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 289, 748, 278 i.e 1.
3. How can I use the GCD of 289, 748, 278Calculator?
Out the numbers 289, 748, 278 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.