GCF of 1263/729, 6394/881
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1263/729, 6394/881 i.e 1/642249 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1263/729, 6394/881.
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 1263/729,6394/881?
Given fractions are 1263/729,6394/881
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 1263/729,6394/881, numerators are 1263,6394
Denominators are 729,881
The GCF of 1263,6394 is 1 .
LCM of 729,881 is 642249.
The greatest common factor of 1263/729,6394/881 = [GCF of 1263,6394]/[LCM of 729,881]= 1/642249
Therefore, the GCF of 1263/729,6394/881 is 1/642249.
To find the highest common factor of 1263,6394, we have to find the factors of both numbers and list the highest common factor.
The factors of 1263 are 1, 3, 421, 1263
The factors of 6394 are 1, 2, 23, 46, 139, 278, 3197, 6394
The HCF of 1263,6394 is 1.
Lets's calculate GCF of 1263,6394
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1263,6394 By Matching Biggest Common Factor Method
Now, list down the factors of 1263
:1,3,421,1263
Now, list down the factors of 6394
:1,2,23,46,139,278,3197,6394
Greatest Common Factor
We found the factors 1263,6394 . The biggest common factor number is the GCF number.
So the greatest common factor 1263,6394 is 1.
Lets's calculate LCM of 729,881
Given numbers has no common factors except 1. So, there LCM is their product i.e 642249
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/642249
Therefore, the GCF of Fractions 1263/729,6394/881 is 1/642249
Least Common Multiple of 729,881 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 729,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(729,881) x common factors =1 x 1 = 1
LCM(729,881) = ( 729 × 881 ) / 1
LCM(729,881) = 642249 / 1
LCM(729,881) = 642249
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1263/729, 6394/881
1. What is the HCF of 1263,6394?
The HCF of 1263,6394 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 1263/729, 6394/881?
Answer: GCF of Numerators as per given numbers 1263/729, 6394/881 is
GCF of Numerators i.e. for 1263,6394 is 1
LCM of denominators i.e. for 729,881 is 642249.
Thus, GCF of Fractions is 1/642249.Finally, GCF of Fractions for 1263/729, 6394/881 is 1/642249.