GCF of 9514/291, 5603/4443
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9514/291, 5603/4443 i.e 1/430971 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9514/291, 5603/4443.
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 9514/291,5603/4443?
Given fractions are 9514/291,5603/4443
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 9514/291,5603/4443, numerators are 9514,5603
Denominators are 291,4443
The GCF of 9514,5603 is 1 .
LCM of 291,4443 is 430971.
The greatest common factor of 9514/291,5603/4443 = [GCF of 9514,5603]/[LCM of 291,4443]= 1/430971
Therefore, the GCF of 9514/291,5603/4443 is 1/430971.
To find the highest common factor of 9514,5603, we have to find the factors of both numbers and list the highest common factor.
The factors of 9514 are 1, 2, 67, 71, 134, 142, 4757, 9514
The factors of 5603 are 1, 13, 431, 5603
The HCF of 9514,5603 is 1.
Lets's calculate GCF of 9514,5603
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9514,5603 By Matching Biggest Common Factor Method
Now, list down the factors of 9514
:1,2,67,71,134,142,4757,9514
Now, list down the factors of 5603
:1,13,431,5603
Greatest Common Factor
We found the factors 9514,5603 . The biggest common factor number is the GCF number.
So the greatest common factor 9514,5603 is 1.
Lets's calculate LCM of 291,4443
| 3 | 291, 4443 |
| 97, 1481 |
∴ So the LCM of the given numbers is 3 x 97 x 1481 = 430971
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/430971
Therefore, the GCF of Fractions 9514/291,5603/4443 is 1/430971
Least Common Multiple of 291,4443 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 291,4443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,4443) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(291,4443) x common factors =3 x 1 = 3
LCM(291,4443) = ( 291 × 4443 ) / 3
LCM(291,4443) = 1292913 / 3
LCM(291,4443) = 430971
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FAQs on GCF of Fractions of 9514/291, 5603/4443
1. What is the HCF of 9514,5603?
The HCF of 9514,5603 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 9514/291, 5603/4443?
Answer: GCF of Numerators as per given numbers 9514/291, 5603/4443 is
GCF of Numerators i.e. for 9514,5603 is 1
LCM of denominators i.e. for 291,4443 is 430971.
Thus, GCF of Fractions is 1/430971.Finally, GCF of Fractions for 9514/291, 5603/4443 is 1/430971.