GCF of 1257/806, 9680/1147
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1257/806, 9680/1147 i.e 1/29822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1257/806, 9680/1147.
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 1257/806,9680/1147?
Given fractions are 1257/806,9680/1147
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 1257/806,9680/1147, numerators are 1257,9680
Denominators are 806,1147
The GCF of 1257,9680 is 1 .
LCM of 806,1147 is 29822.
The greatest common factor of 1257/806,9680/1147 = [GCF of 1257,9680]/[LCM of 806,1147]= 1/29822
Therefore, the GCF of 1257/806,9680/1147 is 1/29822.
To find the highest common factor of 1257,9680, we have to find the factors of both numbers and list the highest common factor.
The factors of 1257 are 1, 3, 419, 1257
The factors of 9680 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 121, 176, 220, 242, 440, 484, 605, 880, 968, 1210, 1936, 2420, 4840, 9680
The HCF of 1257,9680 is 1.
Lets's calculate GCF of 1257,9680
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1257,9680 By Matching Biggest Common Factor Method
Now, list down the factors of 1257
:1,3,419,1257
Now, list down the factors of 9680
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,121,176,220,242,440,484,605,880,968,1210,1936,2420,4840,9680
Greatest Common Factor
We found the factors 1257,9680 . The biggest common factor number is the GCF number.
So the greatest common factor 1257,9680 is 1.
Lets's calculate LCM of 806,1147
| 31 | 806, 1147 |
| 26, 37 |
∴ So the LCM of the given numbers is 31 x 26 x 37 = 29822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29822
Therefore, the GCF of Fractions 1257/806,9680/1147 is 1/29822
Least Common Multiple of 806,1147 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 806,1147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,1147) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(806,1147) x common factors =31 x 1 = 31
LCM(806,1147) = ( 806 × 1147 ) / 31
LCM(806,1147) = 924482 / 31
LCM(806,1147) = 29822
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FAQs on GCF of Fractions of 1257/806, 9680/1147
1. What is the HCF of 1257,9680?
The HCF of 1257,9680 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 1257/806, 9680/1147?
Answer: GCF of Numerators as per given numbers 1257/806, 9680/1147 is
GCF of Numerators i.e. for 1257,9680 is 1
LCM of denominators i.e. for 806,1147 is 29822.
Thus, GCF of Fractions is 1/29822.Finally, GCF of Fractions for 1257/806, 9680/1147 is 1/29822.