GCF of 115/224, 393/994
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 115/224, 393/994 i.e 1/15904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 115/224, 393/994.
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 115/224,393/994?
Given fractions are 115/224,393/994
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 115/224,393/994, numerators are 115,393
Denominators are 224,994
The GCF of 115,393 is 1 .
LCM of 224,994 is 15904.
The greatest common factor of 115/224,393/994 = [GCF of 115,393]/[LCM of 224,994]= 1/15904
Therefore, the GCF of 115/224,393/994 is 1/15904.
To find the highest common factor of 115,393, we have to find the factors of both numbers and list the highest common factor.
The factors of 115 are 1, 5, 23, 115
The factors of 393 are 1, 3, 131, 393
The HCF of 115,393 is 1.
Lets's calculate GCF of 115,393
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 115,393 By Matching Biggest Common Factor Method
Now, list down the factors of 115
:1,5,23,115
Now, list down the factors of 393
:1,3,131,393
Greatest Common Factor
We found the factors 115,393 . The biggest common factor number is the GCF number.
So the greatest common factor 115,393 is 1.
Lets's calculate LCM of 224,994
| 2 | 224, 994 |
| 7 | 112, 497 |
| 16, 71 |
∴ So the LCM of the given numbers is 2 x 7 x 16 x 71 = 15904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15904
Therefore, the GCF of Fractions 115/224,393/994 is 1/15904
Least Common Multiple of 224,994 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 224,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,994) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(224,994) x common factors =14 x 1 = 14
LCM(224,994) = ( 224 × 994 ) / 14
LCM(224,994) = 222656 / 14
LCM(224,994) = 15904
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FAQs on GCF of Fractions of 115/224, 393/994
1. What is the HCF of 115,393?
The HCF of 115,393 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 115/224, 393/994?
Answer: GCF of Numerators as per given numbers 115/224, 393/994 is
GCF of Numerators i.e. for 115,393 is 1
LCM of denominators i.e. for 224,994 is 15904.
Thus, GCF of Fractions is 1/15904.Finally, GCF of Fractions for 115/224, 393/994 is 1/15904.