GCF of 9838/674, 1308/1446
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9838/674, 1308/1446 i.e 2/487302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9838/674, 1308/1446.
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 9838/674,1308/1446?
Given fractions are 9838/674,1308/1446
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 9838/674,1308/1446, numerators are 9838,1308
Denominators are 674,1446
The GCF of 9838,1308 is 2 .
LCM of 674,1446 is 487302.
The greatest common factor of 9838/674,1308/1446 = [GCF of 9838,1308]/[LCM of 674,1446]= 2/487302
Therefore, the GCF of 9838/674,1308/1446 is 2/487302.
To find the highest common factor of 9838,1308, we have to find the factors of both numbers and list the highest common factor.
The factors of 9838 are 1, 2, 4919, 9838
The factors of 1308 are 1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, 1308
The HCF of 9838,1308 is 2.
Lets's calculate GCF of 9838,1308
| 2 | 9838, 1308 |
| 4919, 654 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9838,1308 By Matching Biggest Common Factor Method
Now, list down the factors of 9838
:1,2,4919,9838
Now, list down the factors of 1308
:1,2,3,4,6,12,109,218,327,436,654,1308
Greatest Common Factor
We found the factors 9838,1308 . The biggest common factor number is the GCF number.
So the greatest common factor 9838,1308 is 2.
Lets's calculate LCM of 674,1446
| 2 | 674, 1446 |
| 337, 723 |
∴ So the LCM of the given numbers is 2 x 337 x 723 = 487302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/487302
Therefore, the GCF of Fractions 9838/674,1308/1446 is 2/487302
Least Common Multiple of 674,1446 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 674,1446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,1446) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(674,1446) x common factors =2 x 1 = 2
LCM(674,1446) = ( 674 × 1446 ) / 2
LCM(674,1446) = 974604 / 2
LCM(674,1446) = 487302
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9838/674, 1308/1446
1. What is the HCF of 9838,1308?
The HCF of 9838,1308 is 2
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 9838/674, 1308/1446?
Answer: GCF of Numerators as per given numbers 9838/674, 1308/1446 is
GCF of Numerators i.e. for 9838,1308 is 2
LCM of denominators i.e. for 674,1446 is 487302.
Thus, GCF of Fractions is 2/487302.Finally, GCF of Fractions for 9838/674, 1308/1446 is 2/487302.