GCF of 1314/108, 7398/1353
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1314/108, 7398/1353 i.e 18/48708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1314/108, 7398/1353.
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 1314/108,7398/1353?
Given fractions are 1314/108,7398/1353
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 1314/108,7398/1353, numerators are 1314,7398
Denominators are 108,1353
The GCF of 1314,7398 is 18 .
LCM of 108,1353 is 48708.
The greatest common factor of 1314/108,7398/1353 = [GCF of 1314,7398]/[LCM of 108,1353]= 18/48708
Therefore, the GCF of 1314/108,7398/1353 is 18/48708.
To find the highest common factor of 1314,7398, we have to find the factors of both numbers and list the highest common factor.
The factors of 1314 are 1, 2, 3, 6, 9, 18, 73, 146, 219, 438, 657, 1314
The factors of 7398 are 1, 2, 3, 6, 9, 18, 27, 54, 137, 274, 411, 822, 1233, 2466, 3699, 7398
The HCF of 1314,7398 is 18.
Lets's calculate GCF of 1314,7398
| 2 | 1314, 7398 |
| 3 | 657, 3699 |
| 3 | 219, 1233 |
| 73, 411 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 1314,7398 By Matching Biggest Common Factor Method
Now, list down the factors of 1314
:1,2,3,6,9,18,73,146,219,438,657,1314
Now, list down the factors of 7398
:1,2,3,6,9,18,27,54,137,274,411,822,1233,2466,3699,7398
Greatest Common Factor
We found the factors 1314,7398 . The biggest common factor number is the GCF number.
So the greatest common factor 1314,7398 is 18.
Lets's calculate LCM of 108,1353
| 3 | 108, 1353 |
| 36, 451 |
∴ So the LCM of the given numbers is 3 x 36 x 451 = 48708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/48708
Therefore, the GCF of Fractions 1314/108,7398/1353 is 18/48708
Least Common Multiple of 108,1353 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 108,1353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,1353) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(108,1353) x common factors =3 x 1 = 3
LCM(108,1353) = ( 108 × 1353 ) / 3
LCM(108,1353) = 146124 / 3
LCM(108,1353) = 48708
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FAQs on GCF of Fractions of 1314/108, 7398/1353
1. What is the HCF of 1314,7398?
The HCF of 1314,7398 is 18
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 1314/108, 7398/1353?
Answer: GCF of Numerators as per given numbers 1314/108, 7398/1353 is
GCF of Numerators i.e. for 1314,7398 is 18
LCM of denominators i.e. for 108,1353 is 48708.
Thus, GCF of Fractions is 18/48708.Finally, GCF of Fractions for 1314/108, 7398/1353 is 18/48708.