GCF of 9096/127, 9712/1047
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9096/127, 9712/1047 i.e 8/132969 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9096/127, 9712/1047.
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 9096/127,9712/1047?
Given fractions are 9096/127,9712/1047
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 9096/127,9712/1047, numerators are 9096,9712
Denominators are 127,1047
The GCF of 9096,9712 is 8 .
LCM of 127,1047 is 132969.
The greatest common factor of 9096/127,9712/1047 = [GCF of 9096,9712]/[LCM of 127,1047]= 8/132969
Therefore, the GCF of 9096/127,9712/1047 is 8/132969.
To find the highest common factor of 9096,9712, we have to find the factors of both numbers and list the highest common factor.
The factors of 9096 are 1, 2, 3, 4, 6, 8, 12, 24, 379, 758, 1137, 1516, 2274, 3032, 4548, 9096
The factors of 9712 are 1, 2, 4, 8, 16, 607, 1214, 2428, 4856, 9712
The HCF of 9096,9712 is 8.
Lets's calculate GCF of 9096,9712
| 2 | 9096, 9712 |
| 2 | 4548, 4856 |
| 2 | 2274, 2428 |
| 1137, 1214 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 9096,9712 By Matching Biggest Common Factor Method
Now, list down the factors of 9096
:1,2,3,4,6,8,12,24,379,758,1137,1516,2274,3032,4548,9096
Now, list down the factors of 9712
:1,2,4,8,16,607,1214,2428,4856,9712
Greatest Common Factor
We found the factors 9096,9712 . The biggest common factor number is the GCF number.
So the greatest common factor 9096,9712 is 8.
Lets's calculate LCM of 127,1047
Given numbers has no common factors except 1. So, there LCM is their product i.e 132969
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/132969
Therefore, the GCF of Fractions 9096/127,9712/1047 is 8/132969
Least Common Multiple of 127,1047 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 127,1047 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,1047) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,1047) x common factors =1 x 1 = 1
LCM(127,1047) = ( 127 × 1047 ) / 1
LCM(127,1047) = 132969 / 1
LCM(127,1047) = 132969
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FAQs on GCF of Fractions of 9096/127, 9712/1047
1. What is the HCF of 9096,9712?
The HCF of 9096,9712 is 8
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 9096/127, 9712/1047?
Answer: GCF of Numerators as per given numbers 9096/127, 9712/1047 is
GCF of Numerators i.e. for 9096,9712 is 8
LCM of denominators i.e. for 127,1047 is 132969.
Thus, GCF of Fractions is 8/132969.Finally, GCF of Fractions for 9096/127, 9712/1047 is 8/132969.