GCF of 9307/256, 8134/4136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9307/256, 8134/4136 i.e 1/132352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9307/256, 8134/4136.
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 9307/256,8134/4136?
Given fractions are 9307/256,8134/4136
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 9307/256,8134/4136, numerators are 9307,8134
Denominators are 256,4136
The GCF of 9307,8134 is 1 .
LCM of 256,4136 is 132352.
The greatest common factor of 9307/256,8134/4136 = [GCF of 9307,8134]/[LCM of 256,4136]= 1/132352
Therefore, the GCF of 9307/256,8134/4136 is 1/132352.
To find the highest common factor of 9307,8134, we have to find the factors of both numbers and list the highest common factor.
The factors of 9307 are 1, 41, 227, 9307
The factors of 8134 are 1, 2, 7, 14, 49, 83, 98, 166, 581, 1162, 4067, 8134
The HCF of 9307,8134 is 1.
Lets's calculate GCF of 9307,8134
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9307,8134 By Matching Biggest Common Factor Method
Now, list down the factors of 9307
:1,41,227,9307
Now, list down the factors of 8134
:1,2,7,14,49,83,98,166,581,1162,4067,8134
Greatest Common Factor
We found the factors 9307,8134 . The biggest common factor number is the GCF number.
So the greatest common factor 9307,8134 is 1.
Lets's calculate LCM of 256,4136
| 2 | 256, 4136 |
| 2 | 128, 2068 |
| 2 | 64, 1034 |
| 32, 517 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 32 x 517 = 132352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132352
Therefore, the GCF of Fractions 9307/256,8134/4136 is 1/132352
Least Common Multiple of 256,4136 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 256,4136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,4136) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(256,4136) x common factors =8 x 1 = 8
LCM(256,4136) = ( 256 × 4136 ) / 8
LCM(256,4136) = 1058816 / 8
LCM(256,4136) = 132352
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FAQs on GCF of Fractions of 9307/256, 8134/4136
1. What is the HCF of 9307,8134?
The HCF of 9307,8134 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 9307/256, 8134/4136?
Answer: GCF of Numerators as per given numbers 9307/256, 8134/4136 is
GCF of Numerators i.e. for 9307,8134 is 1
LCM of denominators i.e. for 256,4136 is 132352.
Thus, GCF of Fractions is 1/132352.Finally, GCF of Fractions for 9307/256, 8134/4136 is 1/132352.