GCF of 9863/877, 8771/2808
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9863/877, 8771/2808 i.e 7/2462616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9863/877, 8771/2808.
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 9863/877,8771/2808?
Given fractions are 9863/877,8771/2808
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 9863/877,8771/2808, numerators are 9863,8771
Denominators are 877,2808
The GCF of 9863,8771 is 7 .
LCM of 877,2808 is 2462616.
The greatest common factor of 9863/877,8771/2808 = [GCF of 9863,8771]/[LCM of 877,2808]= 7/2462616
Therefore, the GCF of 9863/877,8771/2808 is 7/2462616.
To find the highest common factor of 9863,8771, we have to find the factors of both numbers and list the highest common factor.
The factors of 9863 are 1, 7, 1409, 9863
The factors of 8771 are 1, 7, 49, 179, 1253, 8771
The HCF of 9863,8771 is 7.
Lets's calculate GCF of 9863,8771
| 7 | 9863, 8771 |
| 1409, 1253 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9863,8771 By Matching Biggest Common Factor Method
Now, list down the factors of 9863
:1,7,1409,9863
Now, list down the factors of 8771
:1,7,49,179,1253,8771
Greatest Common Factor
We found the factors 9863,8771 . The biggest common factor number is the GCF number.
So the greatest common factor 9863,8771 is 7.
Lets's calculate LCM of 877,2808
Given numbers has no common factors except 1. So, there LCM is their product i.e 2462616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2462616
Therefore, the GCF of Fractions 9863/877,8771/2808 is 7/2462616
Least Common Multiple of 877,2808 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 877,2808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(877,2808) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(877,2808) x common factors =1 x 1 = 1
LCM(877,2808) = ( 877 × 2808 ) / 1
LCM(877,2808) = 2462616 / 1
LCM(877,2808) = 2462616
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FAQs on GCF of Fractions of 9863/877, 8771/2808
1. What is the HCF of 9863,8771?
The HCF of 9863,8771 is 7
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 9863/877, 8771/2808?
Answer: GCF of Numerators as per given numbers 9863/877, 8771/2808 is
GCF of Numerators i.e. for 9863,8771 is 7
LCM of denominators i.e. for 877,2808 is 2462616.
Thus, GCF of Fractions is 7/2462616.Finally, GCF of Fractions for 9863/877, 8771/2808 is 7/2462616.