GCF of 7403/913, 5247/8504
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7403/913, 5247/8504 i.e 11/7764152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7403/913, 5247/8504.
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 7403/913,5247/8504?
Given fractions are 7403/913,5247/8504
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 7403/913,5247/8504, numerators are 7403,5247
Denominators are 913,8504
The GCF of 7403,5247 is 11 .
LCM of 913,8504 is 7764152.
The greatest common factor of 7403/913,5247/8504 = [GCF of 7403,5247]/[LCM of 913,8504]= 11/7764152
Therefore, the GCF of 7403/913,5247/8504 is 11/7764152.
To find the highest common factor of 7403,5247, we have to find the factors of both numbers and list the highest common factor.
The factors of 7403 are 1, 11, 673, 7403
The factors of 5247 are 1, 3, 9, 11, 33, 53, 99, 159, 477, 583, 1749, 5247
The HCF of 7403,5247 is 11.
Lets's calculate GCF of 7403,5247
| 11 | 7403, 5247 |
| 673, 477 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 7403,5247 By Matching Biggest Common Factor Method
Now, list down the factors of 7403
:1,11,673,7403
Now, list down the factors of 5247
:1,3,9,11,33,53,99,159,477,583,1749,5247
Greatest Common Factor
We found the factors 7403,5247 . The biggest common factor number is the GCF number.
So the greatest common factor 7403,5247 is 11.
Lets's calculate LCM of 913,8504
Given numbers has no common factors except 1. So, there LCM is their product i.e 7764152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/7764152
Therefore, the GCF of Fractions 7403/913,5247/8504 is 11/7764152
Least Common Multiple of 913,8504 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 913,8504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(913,8504) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(913,8504) x common factors =1 x 1 = 1
LCM(913,8504) = ( 913 × 8504 ) / 1
LCM(913,8504) = 7764152 / 1
LCM(913,8504) = 7764152
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FAQs on GCF of Fractions of 7403/913, 5247/8504
1. What is the HCF of 7403,5247?
The HCF of 7403,5247 is 11
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 7403/913, 5247/8504?
Answer: GCF of Numerators as per given numbers 7403/913, 5247/8504 is
GCF of Numerators i.e. for 7403,5247 is 11
LCM of denominators i.e. for 913,8504 is 7764152.
Thus, GCF of Fractions is 11/7764152.Finally, GCF of Fractions for 7403/913, 5247/8504 is 11/7764152.