GCF of 8300/764, 9116/8040
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8300/764, 9116/8040 i.e 4/1535640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8300/764, 9116/8040.
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 8300/764,9116/8040?
Given fractions are 8300/764,9116/8040
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 8300/764,9116/8040, numerators are 8300,9116
Denominators are 764,8040
The GCF of 8300,9116 is 4 .
LCM of 764,8040 is 1535640.
The greatest common factor of 8300/764,9116/8040 = [GCF of 8300,9116]/[LCM of 764,8040]= 4/1535640
Therefore, the GCF of 8300/764,9116/8040 is 4/1535640.
To find the highest common factor of 8300,9116, we have to find the factors of both numbers and list the highest common factor.
The factors of 8300 are 1, 2, 4, 5, 10, 20, 25, 50, 83, 100, 166, 332, 415, 830, 1660, 2075, 4150, 8300
The factors of 9116 are 1, 2, 4, 43, 53, 86, 106, 172, 212, 2279, 4558, 9116
The HCF of 8300,9116 is 4.
Lets's calculate GCF of 8300,9116
| 2 | 8300, 9116 |
| 2 | 4150, 4558 |
| 2075, 2279 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8300,9116 By Matching Biggest Common Factor Method
Now, list down the factors of 8300
:1,2,4,5,10,20,25,50,83,100,166,332,415,830,1660,2075,4150,8300
Now, list down the factors of 9116
:1,2,4,43,53,86,106,172,212,2279,4558,9116
Greatest Common Factor
We found the factors 8300,9116 . The biggest common factor number is the GCF number.
So the greatest common factor 8300,9116 is 4.
Lets's calculate LCM of 764,8040
| 2 | 764, 8040 |
| 2 | 382, 4020 |
| 191, 2010 |
∴ So the LCM of the given numbers is 2 x 2 x 191 x 2010 = 1535640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1535640
Therefore, the GCF of Fractions 8300/764,9116/8040 is 4/1535640
Least Common Multiple of 764,8040 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 764,8040 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,8040) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(764,8040) x common factors =4 x 1 = 4
LCM(764,8040) = ( 764 × 8040 ) / 4
LCM(764,8040) = 6142560 / 4
LCM(764,8040) = 1535640
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FAQs on GCF of Fractions of 8300/764, 9116/8040
1. What is the HCF of 8300,9116?
The HCF of 8300,9116 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 8300/764, 9116/8040?
Answer: GCF of Numerators as per given numbers 8300/764, 9116/8040 is
GCF of Numerators i.e. for 8300,9116 is 4
LCM of denominators i.e. for 764,8040 is 1535640.
Thus, GCF of Fractions is 4/1535640.Finally, GCF of Fractions for 8300/764, 9116/8040 is 4/1535640.