GCF of 9829/741, 1771/4374
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9829/741, 1771/4374 i.e 1/1080378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9829/741, 1771/4374.
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 9829/741,1771/4374?
Given fractions are 9829/741,1771/4374
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 9829/741,1771/4374, numerators are 9829,1771
Denominators are 741,4374
The GCF of 9829,1771 is 1 .
LCM of 741,4374 is 1080378.
The greatest common factor of 9829/741,1771/4374 = [GCF of 9829,1771]/[LCM of 741,4374]= 1/1080378
Therefore, the GCF of 9829/741,1771/4374 is 1/1080378.
To find the highest common factor of 9829,1771, we have to find the factors of both numbers and list the highest common factor.
The factors of 9829 are 1, 9829
The factors of 1771 are 1, 7, 11, 23, 77, 161, 253, 1771
The HCF of 9829,1771 is 1.
Lets's calculate GCF of 9829,1771
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9829,1771 By Matching Biggest Common Factor Method
Now, list down the factors of 9829
:1,9829
Now, list down the factors of 1771
:1,7,11,23,77,161,253,1771
Greatest Common Factor
We found the factors 9829,1771 . The biggest common factor number is the GCF number.
So the greatest common factor 9829,1771 is 1.
Lets's calculate LCM of 741,4374
| 3 | 741, 4374 |
| 247, 1458 |
∴ So the LCM of the given numbers is 3 x 247 x 1458 = 1080378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1080378
Therefore, the GCF of Fractions 9829/741,1771/4374 is 1/1080378
Least Common Multiple of 741,4374 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 741,4374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,4374) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(741,4374) x common factors =3 x 1 = 3
LCM(741,4374) = ( 741 × 4374 ) / 3
LCM(741,4374) = 3241134 / 3
LCM(741,4374) = 1080378
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FAQs on GCF of Fractions of 9829/741, 1771/4374
1. What is the HCF of 9829,1771?
The HCF of 9829,1771 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 9829/741, 1771/4374?
Answer: GCF of Numerators as per given numbers 9829/741, 1771/4374 is
GCF of Numerators i.e. for 9829,1771 is 1
LCM of denominators i.e. for 741,4374 is 1080378.
Thus, GCF of Fractions is 1/1080378.Finally, GCF of Fractions for 9829/741, 1771/4374 is 1/1080378.