GCF of 7810/385, 4353/8099
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7810/385, 4353/8099 i.e 1/445445 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7810/385, 4353/8099.
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 7810/385,4353/8099?
Given fractions are 7810/385,4353/8099
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 7810/385,4353/8099, numerators are 7810,4353
Denominators are 385,8099
The GCF of 7810,4353 is 1 .
LCM of 385,8099 is 445445.
The greatest common factor of 7810/385,4353/8099 = [GCF of 7810,4353]/[LCM of 385,8099]= 1/445445
Therefore, the GCF of 7810/385,4353/8099 is 1/445445.
To find the highest common factor of 7810,4353, we have to find the factors of both numbers and list the highest common factor.
The factors of 7810 are 1, 2, 5, 10, 11, 22, 55, 71, 110, 142, 355, 710, 781, 1562, 3905, 7810
The factors of 4353 are 1, 3, 1451, 4353
The HCF of 7810,4353 is 1.
Lets's calculate GCF of 7810,4353
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7810,4353 By Matching Biggest Common Factor Method
Now, list down the factors of 7810
:1,2,5,10,11,22,55,71,110,142,355,710,781,1562,3905,7810
Now, list down the factors of 4353
:1,3,1451,4353
Greatest Common Factor
We found the factors 7810,4353 . The biggest common factor number is the GCF number.
So the greatest common factor 7810,4353 is 1.
Lets's calculate LCM of 385,8099
| 7 | 385, 8099 |
| 55, 1157 |
∴ So the LCM of the given numbers is 7 x 55 x 1157 = 445445
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/445445
Therefore, the GCF of Fractions 7810/385,4353/8099 is 1/445445
Least Common Multiple of 385,8099 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 385,8099 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,8099) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(385,8099) x common factors =7 x 1 = 7
LCM(385,8099) = ( 385 × 8099 ) / 7
LCM(385,8099) = 3118115 / 7
LCM(385,8099) = 445445
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FAQs on GCF of Fractions of 7810/385, 4353/8099
1. What is the HCF of 7810,4353?
The HCF of 7810,4353 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 7810/385, 4353/8099?
Answer: GCF of Numerators as per given numbers 7810/385, 4353/8099 is
GCF of Numerators i.e. for 7810,4353 is 1
LCM of denominators i.e. for 385,8099 is 445445.
Thus, GCF of Fractions is 1/445445.Finally, GCF of Fractions for 7810/385, 4353/8099 is 1/445445.