GCF of 2871/476, 1295/9324
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2871/476, 1295/9324 i.e 1/158508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2871/476, 1295/9324.
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 2871/476,1295/9324?
Given fractions are 2871/476,1295/9324
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 2871/476,1295/9324, numerators are 2871,1295
Denominators are 476,9324
The GCF of 2871,1295 is 1 .
LCM of 476,9324 is 158508.
The greatest common factor of 2871/476,1295/9324 = [GCF of 2871,1295]/[LCM of 476,9324]= 1/158508
Therefore, the GCF of 2871/476,1295/9324 is 1/158508.
To find the highest common factor of 2871,1295, 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 1295 are 1, 5, 7, 35, 37, 185, 259, 1295
The HCF of 2871,1295 is 1.
Lets's calculate GCF of 2871,1295
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2871,1295 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 1295
:1,5,7,35,37,185,259,1295
Greatest Common Factor
We found the factors 2871,1295 . The biggest common factor number is the GCF number.
So the greatest common factor 2871,1295 is 1.
Lets's calculate LCM of 476,9324
| 2 | 476, 9324 |
| 2 | 238, 4662 |
| 7 | 119, 2331 |
| 17, 333 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 17 x 333 = 158508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158508
Therefore, the GCF of Fractions 2871/476,1295/9324 is 1/158508
Least Common Multiple of 476,9324 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 476,9324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,9324) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(476,9324) x common factors =28 x 1 = 28
LCM(476,9324) = ( 476 × 9324 ) / 28
LCM(476,9324) = 4438224 / 28
LCM(476,9324) = 158508
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FAQs on GCF of Fractions of 2871/476, 1295/9324
1. What is the HCF of 2871,1295?
The HCF of 2871,1295 is 1
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 2871/476, 1295/9324?
Answer: GCF of Numerators as per given numbers 2871/476, 1295/9324 is
GCF of Numerators i.e. for 2871,1295 is 1
LCM of denominators i.e. for 476,9324 is 158508.
Thus, GCF of Fractions is 1/158508.Finally, GCF of Fractions for 2871/476, 1295/9324 is 1/158508.