GCF of 8897/780, 2870/1533
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8897/780, 2870/1533 i.e 287/398580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8897/780, 2870/1533.
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 8897/780,2870/1533?
Given fractions are 8897/780,2870/1533
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 8897/780,2870/1533, numerators are 8897,2870
Denominators are 780,1533
The GCF of 8897,2870 is 287 .
LCM of 780,1533 is 398580.
The greatest common factor of 8897/780,2870/1533 = [GCF of 8897,2870]/[LCM of 780,1533]= 287/398580
Therefore, the GCF of 8897/780,2870/1533 is 287/398580.
To find the highest common factor of 8897,2870, we have to find the factors of both numbers and list the highest common factor.
The factors of 8897 are 1, 7, 31, 41, 217, 287, 1271, 8897
The factors of 2870 are 1, 2, 5, 7, 10, 14, 35, 41, 70, 82, 205, 287, 410, 574, 1435, 2870
The HCF of 8897,2870 is 287.
Lets's calculate GCF of 8897,2870
| 7 | 8897, 2870 |
| 41 | 1271, 410 |
| 31, 10 |
∴ So the GCF of the given numbers is 7 x 41 = 287
Greatest Common Factor of 8897,2870 By Matching Biggest Common Factor Method
Now, list down the factors of 8897
:1,7,31,41,217,287,1271,8897
Now, list down the factors of 2870
:1,2,5,7,10,14,35,41,70,82,205,287,410,574,1435,2870
Greatest Common Factor
We found the factors 8897,2870 . The biggest common factor number is the GCF number.
So the greatest common factor 8897,2870 is 287.
Lets's calculate LCM of 780,1533
| 3 | 780, 1533 |
| 260, 511 |
∴ So the LCM of the given numbers is 3 x 260 x 511 = 398580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 287/398580
Therefore, the GCF of Fractions 8897/780,2870/1533 is 287/398580
Least Common Multiple of 780,1533 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 780,1533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,1533) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(780,1533) x common factors =3 x 1 = 3
LCM(780,1533) = ( 780 × 1533 ) / 3
LCM(780,1533) = 1195740 / 3
LCM(780,1533) = 398580
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FAQs on GCF of Fractions of 8897/780, 2870/1533
1. What is the HCF of 8897,2870?
The HCF of 8897,2870 is 287
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 8897/780, 2870/1533?
Answer: GCF of Numerators as per given numbers 8897/780, 2870/1533 is
GCF of Numerators i.e. for 8897,2870 is 287
LCM of denominators i.e. for 780,1533 is 398580.
Thus, GCF of Fractions is 287/398580.Finally, GCF of Fractions for 8897/780, 2870/1533 is 287/398580.