GCF of 9515/747, 9794/8793
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9515/747, 9794/8793 i.e 1/729819 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9515/747, 9794/8793.
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 9515/747,9794/8793?
Given fractions are 9515/747,9794/8793
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 9515/747,9794/8793, numerators are 9515,9794
Denominators are 747,8793
The GCF of 9515,9794 is 1 .
LCM of 747,8793 is 729819.
The greatest common factor of 9515/747,9794/8793 = [GCF of 9515,9794]/[LCM of 747,8793]= 1/729819
Therefore, the GCF of 9515/747,9794/8793 is 1/729819.
To find the highest common factor of 9515,9794, we have to find the factors of both numbers and list the highest common factor.
The factors of 9515 are 1, 5, 11, 55, 173, 865, 1903, 9515
The factors of 9794 are 1, 2, 59, 83, 118, 166, 4897, 9794
The HCF of 9515,9794 is 1.
Lets's calculate GCF of 9515,9794
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9515,9794 By Matching Biggest Common Factor Method
Now, list down the factors of 9515
:1,5,11,55,173,865,1903,9515
Now, list down the factors of 9794
:1,2,59,83,118,166,4897,9794
Greatest Common Factor
We found the factors 9515,9794 . The biggest common factor number is the GCF number.
So the greatest common factor 9515,9794 is 1.
Lets's calculate LCM of 747,8793
| 3 | 747, 8793 |
| 3 | 249, 2931 |
| 83, 977 |
∴ So the LCM of the given numbers is 3 x 3 x 83 x 977 = 729819
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/729819
Therefore, the GCF of Fractions 9515/747,9794/8793 is 1/729819
Least Common Multiple of 747,8793 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 747,8793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,8793) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(747,8793) x common factors =9 x 1 = 9
LCM(747,8793) = ( 747 × 8793 ) / 9
LCM(747,8793) = 6568371 / 9
LCM(747,8793) = 729819
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FAQs on GCF of Fractions of 9515/747, 9794/8793
1. What is the HCF of 9515,9794?
The HCF of 9515,9794 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 9515/747, 9794/8793?
Answer: GCF of Numerators as per given numbers 9515/747, 9794/8793 is
GCF of Numerators i.e. for 9515,9794 is 1
LCM of denominators i.e. for 747,8793 is 729819.
Thus, GCF of Fractions is 1/729819.Finally, GCF of Fractions for 9515/747, 9794/8793 is 1/729819.