GCF of 9743/987, 1347/276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9743/987, 1347/276 i.e 1/90804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9743/987, 1347/276.
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 9743/987,1347/276?
Given fractions are 9743/987,1347/276
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 9743/987,1347/276, numerators are 9743,1347
Denominators are 987,276
The GCF of 9743,1347 is 1 .
LCM of 987,276 is 90804.
The greatest common factor of 9743/987,1347/276 = [GCF of 9743,1347]/[LCM of 987,276]= 1/90804
Therefore, the GCF of 9743/987,1347/276 is 1/90804.
To find the highest common factor of 9743,1347, we have to find the factors of both numbers and list the highest common factor.
The factors of 9743 are 1, 9743
The factors of 1347 are 1, 3, 449, 1347
The HCF of 9743,1347 is 1.
Lets's calculate GCF of 9743,1347
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9743,1347 By Matching Biggest Common Factor Method
Now, list down the factors of 9743
:1,9743
Now, list down the factors of 1347
:1,3,449,1347
Greatest Common Factor
We found the factors 9743,1347 . The biggest common factor number is the GCF number.
So the greatest common factor 9743,1347 is 1.
Lets's calculate LCM of 987,276
| 3 | 987, 276 |
| 329, 92 |
∴ So the LCM of the given numbers is 3 x 329 x 92 = 90804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90804
Therefore, the GCF of Fractions 9743/987,1347/276 is 1/90804
Least Common Multiple of 987,276 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 987,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,276) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(987,276) x common factors =3 x 1 = 3
LCM(987,276) = ( 987 × 276 ) / 3
LCM(987,276) = 272412 / 3
LCM(987,276) = 90804
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FAQs on GCF of Fractions of 9743/987, 1347/276
1. What is the HCF of 9743,1347?
The HCF of 9743,1347 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 9743/987, 1347/276?
Answer: GCF of Numerators as per given numbers 9743/987, 1347/276 is
GCF of Numerators i.e. for 9743,1347 is 1
LCM of denominators i.e. for 987,276 is 90804.
Thus, GCF of Fractions is 1/90804.Finally, GCF of Fractions for 9743/987, 1347/276 is 1/90804.