GCF of 1279/491, 5684/891
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1279/491, 5684/891 i.e 1/437481 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1279/491, 5684/891.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1279/491,5684/891?
Given fractions are 1279/491,5684/891
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 1279/491,5684/891, numerators are 1279,5684
Denominators are 491,891
The GCF of 1279,5684 is 1 .
LCM of 491,891 is 437481.
The greatest common factor of 1279/491,5684/891 = [GCF of 1279,5684]/[LCM of 491,891]= 1/437481
Therefore, the GCF of 1279/491,5684/891 is 1/437481.
To find the highest common factor of 1279,5684, we have to find the factors of both numbers and list the highest common factor.
The factors of 1279 are 1, 1279
The factors of 5684 are 1, 2, 4, 7, 14, 28, 29, 49, 58, 98, 116, 196, 203, 406, 812, 1421, 2842, 5684
The HCF of 1279,5684 is 1.
Lets's calculate GCF of 1279,5684
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1279,5684 By Matching Biggest Common Factor Method
Now, list down the factors of 1279
:1,1279
Now, list down the factors of 5684
:1,2,4,7,14,28,29,49,58,98,116,196,203,406,812,1421,2842,5684
Greatest Common Factor
We found the factors 1279,5684 . The biggest common factor number is the GCF number.
So the greatest common factor 1279,5684 is 1.
Lets's calculate LCM of 491,891
Given numbers has no common factors except 1. So, there LCM is their product i.e 437481
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/437481
Therefore, the GCF of Fractions 1279/491,5684/891 is 1/437481
Least Common Multiple of 491,891 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 491,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,891) x common factors =1 x 1 = 1
LCM(491,891) = ( 491 × 891 ) / 1
LCM(491,891) = 437481 / 1
LCM(491,891) = 437481
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1279/491, 5684/891
1. What is the HCF of 1279,5684?
The HCF of 1279,5684 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 1279/491, 5684/891?
Answer: GCF of Numerators as per given numbers 1279/491, 5684/891 is
GCF of Numerators i.e. for 1279,5684 is 1
LCM of denominators i.e. for 491,891 is 437481.
Thus, GCF of Fractions is 1/437481.Finally, GCF of Fractions for 1279/491, 5684/891 is 1/437481.