GCF of 8747/357, 9941/831
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8747/357, 9941/831 i.e 1/98889 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8747/357, 9941/831.
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 8747/357,9941/831?
Given fractions are 8747/357,9941/831
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 8747/357,9941/831, numerators are 8747,9941
Denominators are 357,831
The GCF of 8747,9941 is 1 .
LCM of 357,831 is 98889.
The greatest common factor of 8747/357,9941/831 = [GCF of 8747,9941]/[LCM of 357,831]= 1/98889
Therefore, the GCF of 8747/357,9941/831 is 1/98889.
To find the highest common factor of 8747,9941, we have to find the factors of both numbers and list the highest common factor.
The factors of 8747 are 1, 8747
The factors of 9941 are 1, 9941
The HCF of 8747,9941 is 1.
Lets's calculate GCF of 8747,9941
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8747,9941 By Matching Biggest Common Factor Method
Now, list down the factors of 8747
:1,8747
Now, list down the factors of 9941
:1,9941
Greatest Common Factor
We found the factors 8747,9941 . The biggest common factor number is the GCF number.
So the greatest common factor 8747,9941 is 1.
Lets's calculate LCM of 357,831
| 3 | 357, 831 |
| 119, 277 |
∴ So the LCM of the given numbers is 3 x 119 x 277 = 98889
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98889
Therefore, the GCF of Fractions 8747/357,9941/831 is 1/98889
Least Common Multiple of 357,831 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 357,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,831) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(357,831) x common factors =3 x 1 = 3
LCM(357,831) = ( 357 × 831 ) / 3
LCM(357,831) = 296667 / 3
LCM(357,831) = 98889
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FAQs on GCF of Fractions of 8747/357, 9941/831
1. What is the HCF of 8747,9941?
The HCF of 8747,9941 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 8747/357, 9941/831?
Answer: GCF of Numerators as per given numbers 8747/357, 9941/831 is
GCF of Numerators i.e. for 8747,9941 is 1
LCM of denominators i.e. for 357,831 is 98889.
Thus, GCF of Fractions is 1/98889.Finally, GCF of Fractions for 8747/357, 9941/831 is 1/98889.