GCF of 7729/310, 8083/1515
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7729/310, 8083/1515 i.e 59/93930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7729/310, 8083/1515.
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 7729/310,8083/1515?
Given fractions are 7729/310,8083/1515
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 7729/310,8083/1515, numerators are 7729,8083
Denominators are 310,1515
The GCF of 7729,8083 is 59 .
LCM of 310,1515 is 93930.
The greatest common factor of 7729/310,8083/1515 = [GCF of 7729,8083]/[LCM of 310,1515]= 59/93930
Therefore, the GCF of 7729/310,8083/1515 is 59/93930.
To find the highest common factor of 7729,8083, we have to find the factors of both numbers and list the highest common factor.
The factors of 7729 are 1, 59, 131, 7729
The factors of 8083 are 1, 59, 137, 8083
The HCF of 7729,8083 is 59.
Lets's calculate GCF of 7729,8083
| 59 | 7729, 8083 |
| 131, 137 |
∴ So the GCF of the given numbers is 59 = 59
Greatest Common Factor of 7729,8083 By Matching Biggest Common Factor Method
Now, list down the factors of 7729
:1,59,131,7729
Now, list down the factors of 8083
:1,59,137,8083
Greatest Common Factor
We found the factors 7729,8083 . The biggest common factor number is the GCF number.
So the greatest common factor 7729,8083 is 59.
Lets's calculate LCM of 310,1515
| 5 | 310, 1515 |
| 62, 303 |
∴ So the LCM of the given numbers is 5 x 62 x 303 = 93930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/93930
Therefore, the GCF of Fractions 7729/310,8083/1515 is 59/93930
Least Common Multiple of 310,1515 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 310,1515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,1515) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(310,1515) x common factors =5 x 1 = 5
LCM(310,1515) = ( 310 × 1515 ) / 5
LCM(310,1515) = 469650 / 5
LCM(310,1515) = 93930
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FAQs on GCF of Fractions of 7729/310, 8083/1515
1. What is the HCF of 7729,8083?
The HCF of 7729,8083 is 59
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 7729/310, 8083/1515?
Answer: GCF of Numerators as per given numbers 7729/310, 8083/1515 is
GCF of Numerators i.e. for 7729,8083 is 59
LCM of denominators i.e. for 310,1515 is 93930.
Thus, GCF of Fractions is 59/93930.Finally, GCF of Fractions for 7729/310, 8083/1515 is 59/93930.