GCF of 9494/518, 5564/815
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9494/518, 5564/815 i.e 2/422170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9494/518, 5564/815.
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 9494/518,5564/815?
Given fractions are 9494/518,5564/815
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 9494/518,5564/815, numerators are 9494,5564
Denominators are 518,815
The GCF of 9494,5564 is 2 .
LCM of 518,815 is 422170.
The greatest common factor of 9494/518,5564/815 = [GCF of 9494,5564]/[LCM of 518,815]= 2/422170
Therefore, the GCF of 9494/518,5564/815 is 2/422170.
To find the highest common factor of 9494,5564, we have to find the factors of both numbers and list the highest common factor.
The factors of 9494 are 1, 2, 47, 94, 101, 202, 4747, 9494
The factors of 5564 are 1, 2, 4, 13, 26, 52, 107, 214, 428, 1391, 2782, 5564
The HCF of 9494,5564 is 2.
Lets's calculate GCF of 9494,5564
| 2 | 9494, 5564 |
| 4747, 2782 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9494,5564 By Matching Biggest Common Factor Method
Now, list down the factors of 9494
:1,2,47,94,101,202,4747,9494
Now, list down the factors of 5564
:1,2,4,13,26,52,107,214,428,1391,2782,5564
Greatest Common Factor
We found the factors 9494,5564 . The biggest common factor number is the GCF number.
So the greatest common factor 9494,5564 is 2.
Lets's calculate LCM of 518,815
Given numbers has no common factors except 1. So, there LCM is their product i.e 422170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/422170
Therefore, the GCF of Fractions 9494/518,5564/815 is 2/422170
Least Common Multiple of 518,815 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 518,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(518,815) x common factors =1 x 1 = 1
LCM(518,815) = ( 518 × 815 ) / 1
LCM(518,815) = 422170 / 1
LCM(518,815) = 422170
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FAQs on GCF of Fractions of 9494/518, 5564/815
1. What is the HCF of 9494,5564?
The HCF of 9494,5564 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 9494/518, 5564/815?
Answer: GCF of Numerators as per given numbers 9494/518, 5564/815 is
GCF of Numerators i.e. for 9494,5564 is 2
LCM of denominators i.e. for 518,815 is 422170.
Thus, GCF of Fractions is 2/422170.Finally, GCF of Fractions for 9494/518, 5564/815 is 2/422170.