GCF of 9851/398, 7944/526
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9851/398, 7944/526 i.e 1/104674 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9851/398, 7944/526.
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 9851/398,7944/526?
Given fractions are 9851/398,7944/526
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 9851/398,7944/526, numerators are 9851,7944
Denominators are 398,526
The GCF of 9851,7944 is 1 .
LCM of 398,526 is 104674.
The greatest common factor of 9851/398,7944/526 = [GCF of 9851,7944]/[LCM of 398,526]= 1/104674
Therefore, the GCF of 9851/398,7944/526 is 1/104674.
To find the highest common factor of 9851,7944, we have to find the factors of both numbers and list the highest common factor.
The factors of 9851 are 1, 9851
The factors of 7944 are 1, 2, 3, 4, 6, 8, 12, 24, 331, 662, 993, 1324, 1986, 2648, 3972, 7944
The HCF of 9851,7944 is 1.
Lets's calculate GCF of 9851,7944
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9851,7944 By Matching Biggest Common Factor Method
Now, list down the factors of 9851
:1,9851
Now, list down the factors of 7944
:1,2,3,4,6,8,12,24,331,662,993,1324,1986,2648,3972,7944
Greatest Common Factor
We found the factors 9851,7944 . The biggest common factor number is the GCF number.
So the greatest common factor 9851,7944 is 1.
Lets's calculate LCM of 398,526
| 2 | 398, 526 |
| 199, 263 |
∴ So the LCM of the given numbers is 2 x 199 x 263 = 104674
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104674
Therefore, the GCF of Fractions 9851/398,7944/526 is 1/104674
Least Common Multiple of 398,526 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 398,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,526) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(398,526) x common factors =2 x 1 = 2
LCM(398,526) = ( 398 × 526 ) / 2
LCM(398,526) = 209348 / 2
LCM(398,526) = 104674
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FAQs on GCF of Fractions of 9851/398, 7944/526
1. What is the HCF of 9851,7944?
The HCF of 9851,7944 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 9851/398, 7944/526?
Answer: GCF of Numerators as per given numbers 9851/398, 7944/526 is
GCF of Numerators i.e. for 9851,7944 is 1
LCM of denominators i.e. for 398,526 is 104674.
Thus, GCF of Fractions is 1/104674.Finally, GCF of Fractions for 9851/398, 7944/526 is 1/104674.