GCF of 3101/711, 8576/8916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3101/711, 8576/8916 i.e 1/2113092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3101/711, 8576/8916.
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 3101/711,8576/8916?
Given fractions are 3101/711,8576/8916
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 3101/711,8576/8916, numerators are 3101,8576
Denominators are 711,8916
The GCF of 3101,8576 is 1 .
LCM of 711,8916 is 2113092.
The greatest common factor of 3101/711,8576/8916 = [GCF of 3101,8576]/[LCM of 711,8916]= 1/2113092
Therefore, the GCF of 3101/711,8576/8916 is 1/2113092.
To find the highest common factor of 3101,8576, we have to find the factors of both numbers and list the highest common factor.
The factors of 3101 are 1, 7, 443, 3101
The factors of 8576 are 1, 2, 4, 8, 16, 32, 64, 67, 128, 134, 268, 536, 1072, 2144, 4288, 8576
The HCF of 3101,8576 is 1.
Lets's calculate GCF of 3101,8576
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3101,8576 By Matching Biggest Common Factor Method
Now, list down the factors of 3101
:1,7,443,3101
Now, list down the factors of 8576
:1,2,4,8,16,32,64,67,128,134,268,536,1072,2144,4288,8576
Greatest Common Factor
We found the factors 3101,8576 . The biggest common factor number is the GCF number.
So the greatest common factor 3101,8576 is 1.
Lets's calculate LCM of 711,8916
| 3 | 711, 8916 |
| 237, 2972 |
∴ So the LCM of the given numbers is 3 x 237 x 2972 = 2113092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2113092
Therefore, the GCF of Fractions 3101/711,8576/8916 is 1/2113092
Least Common Multiple of 711,8916 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 711,8916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,8916) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(711,8916) x common factors =3 x 1 = 3
LCM(711,8916) = ( 711 × 8916 ) / 3
LCM(711,8916) = 6339276 / 3
LCM(711,8916) = 2113092
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FAQs on GCF of Fractions of 3101/711, 8576/8916
1. What is the HCF of 3101,8576?
The HCF of 3101,8576 is 1
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 3101/711, 8576/8916?
Answer: GCF of Numerators as per given numbers 3101/711, 8576/8916 is
GCF of Numerators i.e. for 3101,8576 is 1
LCM of denominators i.e. for 711,8916 is 2113092.
Thus, GCF of Fractions is 1/2113092.Finally, GCF of Fractions for 3101/711, 8576/8916 is 1/2113092.