GCF of 4491/814, 8740/686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4491/814, 8740/686 i.e 1/279202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4491/814, 8740/686.
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 4491/814,8740/686?
Given fractions are 4491/814,8740/686
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 4491/814,8740/686, numerators are 4491,8740
Denominators are 814,686
The GCF of 4491,8740 is 1 .
LCM of 814,686 is 279202.
The greatest common factor of 4491/814,8740/686 = [GCF of 4491,8740]/[LCM of 814,686]= 1/279202
Therefore, the GCF of 4491/814,8740/686 is 1/279202.
To find the highest common factor of 4491,8740, we have to find the factors of both numbers and list the highest common factor.
The factors of 4491 are 1, 3, 9, 499, 1497, 4491
The factors of 8740 are 1, 2, 4, 5, 10, 19, 20, 23, 38, 46, 76, 92, 95, 115, 190, 230, 380, 437, 460, 874, 1748, 2185, 4370, 8740
The HCF of 4491,8740 is 1.
Lets's calculate GCF of 4491,8740
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4491,8740 By Matching Biggest Common Factor Method
Now, list down the factors of 4491
:1,3,9,499,1497,4491
Now, list down the factors of 8740
:1,2,4,5,10,19,20,23,38,46,76,92,95,115,190,230,380,437,460,874,1748,2185,4370,8740
Greatest Common Factor
We found the factors 4491,8740 . The biggest common factor number is the GCF number.
So the greatest common factor 4491,8740 is 1.
Lets's calculate LCM of 814,686
| 2 | 814, 686 |
| 407, 343 |
∴ So the LCM of the given numbers is 2 x 407 x 343 = 279202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/279202
Therefore, the GCF of Fractions 4491/814,8740/686 is 1/279202
Least Common Multiple of 814,686 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 814,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,686) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(814,686) x common factors =2 x 1 = 2
LCM(814,686) = ( 814 × 686 ) / 2
LCM(814,686) = 558404 / 2
LCM(814,686) = 279202
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4491/814, 8740/686
1. What is the HCF of 4491,8740?
The HCF of 4491,8740 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 4491/814, 8740/686?
Answer: GCF of Numerators as per given numbers 4491/814, 8740/686 is
GCF of Numerators i.e. for 4491,8740 is 1
LCM of denominators i.e. for 814,686 is 279202.
Thus, GCF of Fractions is 1/279202.Finally, GCF of Fractions for 4491/814, 8740/686 is 1/279202.