GCF of 1326/663, 9724/3686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1326/663, 9724/3686 i.e 442/2443818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1326/663, 9724/3686.
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 1326/663,9724/3686?
Given fractions are 1326/663,9724/3686
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 1326/663,9724/3686, numerators are 1326,9724
Denominators are 663,3686
The GCF of 1326,9724 is 442 .
LCM of 663,3686 is 2443818.
The greatest common factor of 1326/663,9724/3686 = [GCF of 1326,9724]/[LCM of 663,3686]= 442/2443818
Therefore, the GCF of 1326/663,9724/3686 is 442/2443818.
To find the highest common factor of 1326,9724, we have to find the factors of both numbers and list the highest common factor.
The factors of 1326 are 1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 78, 102, 221, 442, 663, 1326
The factors of 9724 are 1, 2, 4, 11, 13, 17, 22, 26, 34, 44, 52, 68, 143, 187, 221, 286, 374, 442, 572, 748, 884, 2431, 4862, 9724
The HCF of 1326,9724 is 442.
Lets's calculate GCF of 1326,9724
| 2 | 1326, 9724 |
| 13 | 663, 4862 |
| 17 | 51, 374 |
| 3, 22 |
∴ So the GCF of the given numbers is 2 x 13 x 17 = 442
Greatest Common Factor of 1326,9724 By Matching Biggest Common Factor Method
Now, list down the factors of 1326
:1,2,3,6,13,17,26,34,39,51,78,102,221,442,663,1326
Now, list down the factors of 9724
:1,2,4,11,13,17,22,26,34,44,52,68,143,187,221,286,374,442,572,748,884,2431,4862,9724
Greatest Common Factor
We found the factors 1326,9724 . The biggest common factor number is the GCF number.
So the greatest common factor 1326,9724 is 442.
Lets's calculate LCM of 663,3686
Given numbers has no common factors except 1. So, there LCM is their product i.e 2443818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 442/2443818
Therefore, the GCF of Fractions 1326/663,9724/3686 is 442/2443818
Least Common Multiple of 663,3686 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 663,3686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(663,3686) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(663,3686) x common factors =1 x 1 = 1
LCM(663,3686) = ( 663 × 3686 ) / 1
LCM(663,3686) = 2443818 / 1
LCM(663,3686) = 2443818
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FAQs on GCF of Fractions of 1326/663, 9724/3686
1. What is the HCF of 1326,9724?
The HCF of 1326,9724 is 442
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 1326/663, 9724/3686?
Answer: GCF of Numerators as per given numbers 1326/663, 9724/3686 is
GCF of Numerators i.e. for 1326,9724 is 442
LCM of denominators i.e. for 663,3686 is 2443818.
Thus, GCF of Fractions is 442/2443818.Finally, GCF of Fractions for 1326/663, 9724/3686 is 442/2443818.