GCF of 8296/780, 4306/8755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8296/780, 4306/8755 i.e 2/1365780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8296/780, 4306/8755.
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 8296/780,4306/8755?
Given fractions are 8296/780,4306/8755
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 8296/780,4306/8755, numerators are 8296,4306
Denominators are 780,8755
The GCF of 8296,4306 is 2 .
LCM of 780,8755 is 1365780.
The greatest common factor of 8296/780,4306/8755 = [GCF of 8296,4306]/[LCM of 780,8755]= 2/1365780
Therefore, the GCF of 8296/780,4306/8755 is 2/1365780.
To find the highest common factor of 8296,4306, we have to find the factors of both numbers and list the highest common factor.
The factors of 8296 are 1, 2, 4, 8, 17, 34, 61, 68, 122, 136, 244, 488, 1037, 2074, 4148, 8296
The factors of 4306 are 1, 2, 2153, 4306
The HCF of 8296,4306 is 2.
Lets's calculate GCF of 8296,4306
| 2 | 8296, 4306 |
| 4148, 2153 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8296,4306 By Matching Biggest Common Factor Method
Now, list down the factors of 8296
:1,2,4,8,17,34,61,68,122,136,244,488,1037,2074,4148,8296
Now, list down the factors of 4306
:1,2,2153,4306
Greatest Common Factor
We found the factors 8296,4306 . The biggest common factor number is the GCF number.
So the greatest common factor 8296,4306 is 2.
Lets's calculate LCM of 780,8755
| 5 | 780, 8755 |
| 156, 1751 |
∴ So the LCM of the given numbers is 5 x 156 x 1751 = 1365780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1365780
Therefore, the GCF of Fractions 8296/780,4306/8755 is 2/1365780
Least Common Multiple of 780,8755 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 780,8755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,8755) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(780,8755) x common factors =5 x 1 = 5
LCM(780,8755) = ( 780 × 8755 ) / 5
LCM(780,8755) = 6828900 / 5
LCM(780,8755) = 1365780
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FAQs on GCF of Fractions of 8296/780, 4306/8755
1. What is the HCF of 8296,4306?
The HCF of 8296,4306 is 2
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 8296/780, 4306/8755?
Answer: GCF of Numerators as per given numbers 8296/780, 4306/8755 is
GCF of Numerators i.e. for 8296,4306 is 2
LCM of denominators i.e. for 780,8755 is 1365780.
Thus, GCF of Fractions is 2/1365780.Finally, GCF of Fractions for 8296/780, 4306/8755 is 2/1365780.