GCF of 7011/434, 9519/2896
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7011/434, 9519/2896 i.e 57/628432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7011/434, 9519/2896.
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 7011/434,9519/2896?
Given fractions are 7011/434,9519/2896
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 7011/434,9519/2896, numerators are 7011,9519
Denominators are 434,2896
The GCF of 7011,9519 is 57 .
LCM of 434,2896 is 628432.
The greatest common factor of 7011/434,9519/2896 = [GCF of 7011,9519]/[LCM of 434,2896]= 57/628432
Therefore, the GCF of 7011/434,9519/2896 is 57/628432.
To find the highest common factor of 7011,9519, we have to find the factors of both numbers and list the highest common factor.
The factors of 7011 are 1, 3, 9, 19, 41, 57, 123, 171, 369, 779, 2337, 7011
The factors of 9519 are 1, 3, 19, 57, 167, 501, 3173, 9519
The HCF of 7011,9519 is 57.
Lets's calculate GCF of 7011,9519
| 3 | 7011, 9519 |
| 19 | 2337, 3173 |
| 123, 167 |
∴ So the GCF of the given numbers is 3 x 19 = 57
Greatest Common Factor of 7011,9519 By Matching Biggest Common Factor Method
Now, list down the factors of 7011
:1,3,9,19,41,57,123,171,369,779,2337,7011
Now, list down the factors of 9519
:1,3,19,57,167,501,3173,9519
Greatest Common Factor
We found the factors 7011,9519 . The biggest common factor number is the GCF number.
So the greatest common factor 7011,9519 is 57.
Lets's calculate LCM of 434,2896
| 2 | 434, 2896 |
| 217, 1448 |
∴ So the LCM of the given numbers is 2 x 217 x 1448 = 628432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/628432
Therefore, the GCF of Fractions 7011/434,9519/2896 is 57/628432
Least Common Multiple of 434,2896 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 434,2896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,2896) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(434,2896) x common factors =2 x 1 = 2
LCM(434,2896) = ( 434 × 2896 ) / 2
LCM(434,2896) = 1256864 / 2
LCM(434,2896) = 628432
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FAQs on GCF of Fractions of 7011/434, 9519/2896
1. What is the HCF of 7011,9519?
The HCF of 7011,9519 is 57
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 7011/434, 9519/2896?
Answer: GCF of Numerators as per given numbers 7011/434, 9519/2896 is
GCF of Numerators i.e. for 7011,9519 is 57
LCM of denominators i.e. for 434,2896 is 628432.
Thus, GCF of Fractions is 57/628432.Finally, GCF of Fractions for 7011/434, 9519/2896 is 57/628432.