GCF of 9821/326, 9775/990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9821/326, 9775/990 i.e 23/161370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9821/326, 9775/990.
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 9821/326,9775/990?
Given fractions are 9821/326,9775/990
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 9821/326,9775/990, numerators are 9821,9775
Denominators are 326,990
The GCF of 9821,9775 is 23 .
LCM of 326,990 is 161370.
The greatest common factor of 9821/326,9775/990 = [GCF of 9821,9775]/[LCM of 326,990]= 23/161370
Therefore, the GCF of 9821/326,9775/990 is 23/161370.
To find the highest common factor of 9821,9775, we have to find the factors of both numbers and list the highest common factor.
The factors of 9821 are 1, 7, 23, 61, 161, 427, 1403, 9821
The factors of 9775 are 1, 5, 17, 23, 25, 85, 115, 391, 425, 575, 1955, 9775
The HCF of 9821,9775 is 23.
Lets's calculate GCF of 9821,9775
| 23 | 9821, 9775 |
| 427, 425 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 9821,9775 By Matching Biggest Common Factor Method
Now, list down the factors of 9821
:1,7,23,61,161,427,1403,9821
Now, list down the factors of 9775
:1,5,17,23,25,85,115,391,425,575,1955,9775
Greatest Common Factor
We found the factors 9821,9775 . The biggest common factor number is the GCF number.
So the greatest common factor 9821,9775 is 23.
Lets's calculate LCM of 326,990
| 2 | 326, 990 |
| 163, 495 |
∴ So the LCM of the given numbers is 2 x 163 x 495 = 161370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/161370
Therefore, the GCF of Fractions 9821/326,9775/990 is 23/161370
Least Common Multiple of 326,990 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 326,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,990) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(326,990) x common factors =2 x 1 = 2
LCM(326,990) = ( 326 × 990 ) / 2
LCM(326,990) = 322740 / 2
LCM(326,990) = 161370
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FAQs on GCF of Fractions of 9821/326, 9775/990
1. What is the HCF of 9821,9775?
The HCF of 9821,9775 is 23
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 9821/326, 9775/990?
Answer: GCF of Numerators as per given numbers 9821/326, 9775/990 is
GCF of Numerators i.e. for 9821,9775 is 23
LCM of denominators i.e. for 326,990 is 161370.
Thus, GCF of Fractions is 23/161370.Finally, GCF of Fractions for 9821/326, 9775/990 is 23/161370.