GCF of 8319/715, 9794/7987
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8319/715, 9794/7987 i.e 59/5710705 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8319/715, 9794/7987.
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 8319/715,9794/7987?
Given fractions are 8319/715,9794/7987
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 8319/715,9794/7987, numerators are 8319,9794
Denominators are 715,7987
The GCF of 8319,9794 is 59 .
LCM of 715,7987 is 5710705.
The greatest common factor of 8319/715,9794/7987 = [GCF of 8319,9794]/[LCM of 715,7987]= 59/5710705
Therefore, the GCF of 8319/715,9794/7987 is 59/5710705.
To find the highest common factor of 8319,9794, we have to find the factors of both numbers and list the highest common factor.
The factors of 8319 are 1, 3, 47, 59, 141, 177, 2773, 8319
The factors of 9794 are 1, 2, 59, 83, 118, 166, 4897, 9794
The HCF of 8319,9794 is 59.
Lets's calculate GCF of 8319,9794
| 59 | 8319, 9794 |
| 141, 166 |
∴ So the GCF of the given numbers is 59 = 59
Greatest Common Factor of 8319,9794 By Matching Biggest Common Factor Method
Now, list down the factors of 8319
:1,3,47,59,141,177,2773,8319
Now, list down the factors of 9794
:1,2,59,83,118,166,4897,9794
Greatest Common Factor
We found the factors 8319,9794 . The biggest common factor number is the GCF number.
So the greatest common factor 8319,9794 is 59.
Lets's calculate LCM of 715,7987
Given numbers has no common factors except 1. So, there LCM is their product i.e 5710705
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/5710705
Therefore, the GCF of Fractions 8319/715,9794/7987 is 59/5710705
Least Common Multiple of 715,7987 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 715,7987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,7987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(715,7987) x common factors =1 x 1 = 1
LCM(715,7987) = ( 715 × 7987 ) / 1
LCM(715,7987) = 5710705 / 1
LCM(715,7987) = 5710705
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FAQs on GCF of Fractions of 8319/715, 9794/7987
1. What is the HCF of 8319,9794?
The HCF of 8319,9794 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 8319/715, 9794/7987?
Answer: GCF of Numerators as per given numbers 8319/715, 9794/7987 is
GCF of Numerators i.e. for 8319,9794 is 59
LCM of denominators i.e. for 715,7987 is 5710705.
Thus, GCF of Fractions is 59/5710705.Finally, GCF of Fractions for 8319/715, 9794/7987 is 59/5710705.