GCF of 9730/777, 8760/4818
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9730/777, 8760/4818 i.e 10/1247862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9730/777, 8760/4818.
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 9730/777,8760/4818?
Given fractions are 9730/777,8760/4818
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 9730/777,8760/4818, numerators are 9730,8760
Denominators are 777,4818
The GCF of 9730,8760 is 10 .
LCM of 777,4818 is 1247862.
The greatest common factor of 9730/777,8760/4818 = [GCF of 9730,8760]/[LCM of 777,4818]= 10/1247862
Therefore, the GCF of 9730/777,8760/4818 is 10/1247862.
To find the highest common factor of 9730,8760, we have to find the factors of both numbers and list the highest common factor.
The factors of 9730 are 1, 2, 5, 7, 10, 14, 35, 70, 139, 278, 695, 973, 1390, 1946, 4865, 9730
The factors of 8760 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 73, 120, 146, 219, 292, 365, 438, 584, 730, 876, 1095, 1460, 1752, 2190, 2920, 4380, 8760
The HCF of 9730,8760 is 10.
Lets's calculate GCF of 9730,8760
| 2 | 9730, 8760 |
| 5 | 4865, 4380 |
| 973, 876 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9730,8760 By Matching Biggest Common Factor Method
Now, list down the factors of 9730
:1,2,5,7,10,14,35,70,139,278,695,973,1390,1946,4865,9730
Now, list down the factors of 8760
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,73,120,146,219,292,365,438,584,730,876,1095,1460,1752,2190,2920,4380,8760
Greatest Common Factor
We found the factors 9730,8760 . The biggest common factor number is the GCF number.
So the greatest common factor 9730,8760 is 10.
Lets's calculate LCM of 777,4818
| 3 | 777, 4818 |
| 259, 1606 |
∴ So the LCM of the given numbers is 3 x 259 x 1606 = 1247862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1247862
Therefore, the GCF of Fractions 9730/777,8760/4818 is 10/1247862
Least Common Multiple of 777,4818 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 777,4818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,4818) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(777,4818) x common factors =3 x 1 = 3
LCM(777,4818) = ( 777 × 4818 ) / 3
LCM(777,4818) = 3743586 / 3
LCM(777,4818) = 1247862
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9730/777, 8760/4818
1. What is the HCF of 9730,8760?
The HCF of 9730,8760 is 10
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 9730/777, 8760/4818?
Answer: GCF of Numerators as per given numbers 9730/777, 8760/4818 is
GCF of Numerators i.e. for 9730,8760 is 10
LCM of denominators i.e. for 777,4818 is 1247862.
Thus, GCF of Fractions is 10/1247862.Finally, GCF of Fractions for 9730/777, 8760/4818 is 10/1247862.