GCF of 8540/491, 8314/7838
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8540/491, 8314/7838 i.e 2/3848458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8540/491, 8314/7838.
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 8540/491,8314/7838?
Given fractions are 8540/491,8314/7838
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 8540/491,8314/7838, numerators are 8540,8314
Denominators are 491,7838
The GCF of 8540,8314 is 2 .
LCM of 491,7838 is 3848458.
The greatest common factor of 8540/491,8314/7838 = [GCF of 8540,8314]/[LCM of 491,7838]= 2/3848458
Therefore, the GCF of 8540/491,8314/7838 is 2/3848458.
To find the highest common factor of 8540,8314, we have to find the factors of both numbers and list the highest common factor.
The factors of 8540 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 61, 70, 122, 140, 244, 305, 427, 610, 854, 1220, 1708, 2135, 4270, 8540
The factors of 8314 are 1, 2, 4157, 8314
The HCF of 8540,8314 is 2.
Lets's calculate GCF of 8540,8314
| 2 | 8540, 8314 |
| 4270, 4157 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8540,8314 By Matching Biggest Common Factor Method
Now, list down the factors of 8540
:1,2,4,5,7,10,14,20,28,35,61,70,122,140,244,305,427,610,854,1220,1708,2135,4270,8540
Now, list down the factors of 8314
:1,2,4157,8314
Greatest Common Factor
We found the factors 8540,8314 . The biggest common factor number is the GCF number.
So the greatest common factor 8540,8314 is 2.
Lets's calculate LCM of 491,7838
Given numbers has no common factors except 1. So, there LCM is their product i.e 3848458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3848458
Therefore, the GCF of Fractions 8540/491,8314/7838 is 2/3848458
Least Common Multiple of 491,7838 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 491,7838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,7838) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,7838) x common factors =1 x 1 = 1
LCM(491,7838) = ( 491 × 7838 ) / 1
LCM(491,7838) = 3848458 / 1
LCM(491,7838) = 3848458
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8540/491, 8314/7838
1. What is the HCF of 8540,8314?
The HCF of 8540,8314 is 2
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 8540/491, 8314/7838?
Answer: GCF of Numerators as per given numbers 8540/491, 8314/7838 is
GCF of Numerators i.e. for 8540,8314 is 2
LCM of denominators i.e. for 491,7838 is 3848458.
Thus, GCF of Fractions is 2/3848458.Finally, GCF of Fractions for 8540/491, 8314/7838 is 2/3848458.