GCF of 5127/808, 7836/816
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5127/808, 7836/816 i.e 3/82416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5127/808, 7836/816.
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 5127/808,7836/816?
Given fractions are 5127/808,7836/816
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 5127/808,7836/816, numerators are 5127,7836
Denominators are 808,816
The GCF of 5127,7836 is 3 .
LCM of 808,816 is 82416.
The greatest common factor of 5127/808,7836/816 = [GCF of 5127,7836]/[LCM of 808,816]= 3/82416
Therefore, the GCF of 5127/808,7836/816 is 3/82416.
To find the highest common factor of 5127,7836, we have to find the factors of both numbers and list the highest common factor.
The factors of 5127 are 1, 3, 1709, 5127
The factors of 7836 are 1, 2, 3, 4, 6, 12, 653, 1306, 1959, 2612, 3918, 7836
The HCF of 5127,7836 is 3.
Lets's calculate GCF of 5127,7836
| 3 | 5127, 7836 |
| 1709, 2612 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5127,7836 By Matching Biggest Common Factor Method
Now, list down the factors of 5127
:1,3,1709,5127
Now, list down the factors of 7836
:1,2,3,4,6,12,653,1306,1959,2612,3918,7836
Greatest Common Factor
We found the factors 5127,7836 . The biggest common factor number is the GCF number.
So the greatest common factor 5127,7836 is 3.
Lets's calculate LCM of 808,816
| 2 | 808, 816 |
| 2 | 404, 408 |
| 2 | 202, 204 |
| 101, 102 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 101 x 102 = 82416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/82416
Therefore, the GCF of Fractions 5127/808,7836/816 is 3/82416
Least Common Multiple of 808,816 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 808,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(808,816) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(808,816) x common factors =8 x 1 = 8
LCM(808,816) = ( 808 × 816 ) / 8
LCM(808,816) = 659328 / 8
LCM(808,816) = 82416
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FAQs on GCF of Fractions of 5127/808, 7836/816
1. What is the HCF of 5127,7836?
The HCF of 5127,7836 is 3
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 5127/808, 7836/816?
Answer: GCF of Numerators as per given numbers 5127/808, 7836/816 is
GCF of Numerators i.e. for 5127,7836 is 3
LCM of denominators i.e. for 808,816 is 82416.
Thus, GCF of Fractions is 3/82416.Finally, GCF of Fractions for 5127/808, 7836/816 is 3/82416.