GCF of 5564/511, 5317/6991
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5564/511, 5317/6991 i.e 13/3572401 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5564/511, 5317/6991.
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 5564/511,5317/6991?
Given fractions are 5564/511,5317/6991
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 5564/511,5317/6991, numerators are 5564,5317
Denominators are 511,6991
The GCF of 5564,5317 is 13 .
LCM of 511,6991 is 3572401.
The greatest common factor of 5564/511,5317/6991 = [GCF of 5564,5317]/[LCM of 511,6991]= 13/3572401
Therefore, the GCF of 5564/511,5317/6991 is 13/3572401.
To find the highest common factor of 5564,5317, we have to find the factors of both numbers and list the highest common factor.
The factors of 5564 are 1, 2, 4, 13, 26, 52, 107, 214, 428, 1391, 2782, 5564
The factors of 5317 are 1, 13, 409, 5317
The HCF of 5564,5317 is 13.
Lets's calculate GCF of 5564,5317
| 13 | 5564, 5317 |
| 428, 409 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 5564,5317 By Matching Biggest Common Factor Method
Now, list down the factors of 5564
:1,2,4,13,26,52,107,214,428,1391,2782,5564
Now, list down the factors of 5317
:1,13,409,5317
Greatest Common Factor
We found the factors 5564,5317 . The biggest common factor number is the GCF number.
So the greatest common factor 5564,5317 is 13.
Lets's calculate LCM of 511,6991
Given numbers has no common factors except 1. So, there LCM is their product i.e 3572401
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3572401
Therefore, the GCF of Fractions 5564/511,5317/6991 is 13/3572401
Least Common Multiple of 511,6991 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 511,6991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,6991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(511,6991) x common factors =1 x 1 = 1
LCM(511,6991) = ( 511 × 6991 ) / 1
LCM(511,6991) = 3572401 / 1
LCM(511,6991) = 3572401
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FAQs on GCF of Fractions of 5564/511, 5317/6991
1. What is the HCF of 5564,5317?
The HCF of 5564,5317 is 13
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 5564/511, 5317/6991?
Answer: GCF of Numerators as per given numbers 5564/511, 5317/6991 is
GCF of Numerators i.e. for 5564,5317 is 13
LCM of denominators i.e. for 511,6991 is 3572401.
Thus, GCF of Fractions is 13/3572401.Finally, GCF of Fractions for 5564/511, 5317/6991 is 13/3572401.