GCF of 8263/781, 1452/6844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8263/781, 1452/6844 i.e 1/5345164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8263/781, 1452/6844.
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 8263/781,1452/6844?
Given fractions are 8263/781,1452/6844
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 8263/781,1452/6844, numerators are 8263,1452
Denominators are 781,6844
The GCF of 8263,1452 is 1 .
LCM of 781,6844 is 5345164.
The greatest common factor of 8263/781,1452/6844 = [GCF of 8263,1452]/[LCM of 781,6844]= 1/5345164
Therefore, the GCF of 8263/781,1452/6844 is 1/5345164.
To find the highest common factor of 8263,1452, we have to find the factors of both numbers and list the highest common factor.
The factors of 8263 are 1, 8263
The factors of 1452 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 121, 132, 242, 363, 484, 726, 1452
The HCF of 8263,1452 is 1.
Lets's calculate GCF of 8263,1452
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8263,1452 By Matching Biggest Common Factor Method
Now, list down the factors of 8263
:1,8263
Now, list down the factors of 1452
:1,2,3,4,6,11,12,22,33,44,66,121,132,242,363,484,726,1452
Greatest Common Factor
We found the factors 8263,1452 . The biggest common factor number is the GCF number.
So the greatest common factor 8263,1452 is 1.
Lets's calculate LCM of 781,6844
Given numbers has no common factors except 1. So, there LCM is their product i.e 5345164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5345164
Therefore, the GCF of Fractions 8263/781,1452/6844 is 1/5345164
Least Common Multiple of 781,6844 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 781,6844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,6844) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(781,6844) x common factors =1 x 1 = 1
LCM(781,6844) = ( 781 × 6844 ) / 1
LCM(781,6844) = 5345164 / 1
LCM(781,6844) = 5345164
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8263/781, 1452/6844
1. What is the HCF of 8263,1452?
The HCF of 8263,1452 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 8263/781, 1452/6844?
Answer: GCF of Numerators as per given numbers 8263/781, 1452/6844 is
GCF of Numerators i.e. for 8263,1452 is 1
LCM of denominators i.e. for 781,6844 is 5345164.
Thus, GCF of Fractions is 1/5345164.Finally, GCF of Fractions for 8263/781, 1452/6844 is 1/5345164.