GCF of 2871/68, 7227/307
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2871/68, 7227/307 i.e 99/20876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2871/68, 7227/307.
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 2871/68,7227/307?
Given fractions are 2871/68,7227/307
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 2871/68,7227/307, numerators are 2871,7227
Denominators are 68,307
The GCF of 2871,7227 is 99 .
LCM of 68,307 is 20876.
The greatest common factor of 2871/68,7227/307 = [GCF of 2871,7227]/[LCM of 68,307]= 99/20876
Therefore, the GCF of 2871/68,7227/307 is 99/20876.
To find the highest common factor of 2871,7227, we have to find the factors of both numbers and list the highest common factor.
The factors of 2871 are 1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 957, 2871
The factors of 7227 are 1, 3, 9, 11, 33, 73, 99, 219, 657, 803, 2409, 7227
The HCF of 2871,7227 is 99.
Lets's calculate GCF of 2871,7227
| 3 | 2871, 7227 |
| 3 | 957, 2409 |
| 11 | 319, 803 |
| 29, 73 |
∴ So the GCF of the given numbers is 3 x 3 x 11 = 99
Greatest Common Factor of 2871,7227 By Matching Biggest Common Factor Method
Now, list down the factors of 2871
:1,3,9,11,29,33,87,99,261,319,957,2871
Now, list down the factors of 7227
:1,3,9,11,33,73,99,219,657,803,2409,7227
Greatest Common Factor
We found the factors 2871,7227 . The biggest common factor number is the GCF number.
So the greatest common factor 2871,7227 is 99.
Lets's calculate LCM of 68,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 20876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 99/20876
Therefore, the GCF of Fractions 2871/68,7227/307 is 99/20876
Least Common Multiple of 68,307 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 68,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,307) x common factors =1 x 1 = 1
LCM(68,307) = ( 68 × 307 ) / 1
LCM(68,307) = 20876 / 1
LCM(68,307) = 20876
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FAQs on GCF of Fractions of 2871/68, 7227/307
1. What is the HCF of 2871,7227?
The HCF of 2871,7227 is 99
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 2871/68, 7227/307?
Answer: GCF of Numerators as per given numbers 2871/68, 7227/307 is
GCF of Numerators i.e. for 2871,7227 is 99
LCM of denominators i.e. for 68,307 is 20876.
Thus, GCF of Fractions is 99/20876.Finally, GCF of Fractions for 2871/68, 7227/307 is 99/20876.