GCF of 2527/309, 7847/227
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2527/309, 7847/227 i.e 133/70143 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2527/309, 7847/227.
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 2527/309,7847/227?
Given fractions are 2527/309,7847/227
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 2527/309,7847/227, numerators are 2527,7847
Denominators are 309,227
The GCF of 2527,7847 is 133 .
LCM of 309,227 is 70143.
The greatest common factor of 2527/309,7847/227 = [GCF of 2527,7847]/[LCM of 309,227]= 133/70143
Therefore, the GCF of 2527/309,7847/227 is 133/70143.
To find the highest common factor of 2527,7847, we have to find the factors of both numbers and list the highest common factor.
The factors of 2527 are 1, 7, 19, 133, 361, 2527
The factors of 7847 are 1, 7, 19, 59, 133, 413, 1121, 7847
The HCF of 2527,7847 is 133.
Lets's calculate GCF of 2527,7847
| 7 | 2527, 7847 |
| 19 | 361, 1121 |
| 19, 59 |
∴ So the GCF of the given numbers is 7 x 19 = 133
Greatest Common Factor of 2527,7847 By Matching Biggest Common Factor Method
Now, list down the factors of 2527
:1,7,19,133,361,2527
Now, list down the factors of 7847
:1,7,19,59,133,413,1121,7847
Greatest Common Factor
We found the factors 2527,7847 . The biggest common factor number is the GCF number.
So the greatest common factor 2527,7847 is 133.
Lets's calculate LCM of 309,227
Given numbers has no common factors except 1. So, there LCM is their product i.e 70143
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 133/70143
Therefore, the GCF of Fractions 2527/309,7847/227 is 133/70143
Least Common Multiple of 309,227 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 309,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(309,227) x common factors =1 x 1 = 1
LCM(309,227) = ( 309 × 227 ) / 1
LCM(309,227) = 70143 / 1
LCM(309,227) = 70143
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FAQs on GCF of Fractions of 2527/309, 7847/227
1. What is the HCF of 2527,7847?
The HCF of 2527,7847 is 133
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 2527/309, 7847/227?
Answer: GCF of Numerators as per given numbers 2527/309, 7847/227 is
GCF of Numerators i.e. for 2527,7847 is 133
LCM of denominators i.e. for 309,227 is 70143.
Thus, GCF of Fractions is 133/70143.Finally, GCF of Fractions for 2527/309, 7847/227 is 133/70143.