GCF of 9116/778, 6500/1034
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9116/778, 6500/1034 i.e 4/402226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9116/778, 6500/1034.
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 9116/778,6500/1034?
Given fractions are 9116/778,6500/1034
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 9116/778,6500/1034, numerators are 9116,6500
Denominators are 778,1034
The GCF of 9116,6500 is 4 .
LCM of 778,1034 is 402226.
The greatest common factor of 9116/778,6500/1034 = [GCF of 9116,6500]/[LCM of 778,1034]= 4/402226
Therefore, the GCF of 9116/778,6500/1034 is 4/402226.
To find the highest common factor of 9116,6500, we have to find the factors of both numbers and list the highest common factor.
The factors of 9116 are 1, 2, 4, 43, 53, 86, 106, 172, 212, 2279, 4558, 9116
The factors of 6500 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 125, 130, 250, 260, 325, 500, 650, 1300, 1625, 3250, 6500
The HCF of 9116,6500 is 4.
Lets's calculate GCF of 9116,6500
| 2 | 9116, 6500 |
| 2 | 4558, 3250 |
| 2279, 1625 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9116,6500 By Matching Biggest Common Factor Method
Now, list down the factors of 9116
:1,2,4,43,53,86,106,172,212,2279,4558,9116
Now, list down the factors of 6500
:1,2,4,5,10,13,20,25,26,50,52,65,100,125,130,250,260,325,500,650,1300,1625,3250,6500
Greatest Common Factor
We found the factors 9116,6500 . The biggest common factor number is the GCF number.
So the greatest common factor 9116,6500 is 4.
Lets's calculate LCM of 778,1034
| 2 | 778, 1034 |
| 389, 517 |
∴ So the LCM of the given numbers is 2 x 389 x 517 = 402226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/402226
Therefore, the GCF of Fractions 9116/778,6500/1034 is 4/402226
Least Common Multiple of 778,1034 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 778,1034 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,1034) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(778,1034) x common factors =2 x 1 = 2
LCM(778,1034) = ( 778 × 1034 ) / 2
LCM(778,1034) = 804452 / 2
LCM(778,1034) = 402226
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FAQs on GCF of Fractions of 9116/778, 6500/1034
1. What is the HCF of 9116,6500?
The HCF of 9116,6500 is 4
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 9116/778, 6500/1034?
Answer: GCF of Numerators as per given numbers 9116/778, 6500/1034 is
GCF of Numerators i.e. for 9116,6500 is 4
LCM of denominators i.e. for 778,1034 is 402226.
Thus, GCF of Fractions is 4/402226.Finally, GCF of Fractions for 9116/778, 6500/1034 is 4/402226.