GCF of 303/152, 404/398
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 303/152, 404/398 i.e 101/30248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 303/152, 404/398.
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 303/152,404/398?
Given fractions are 303/152,404/398
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 303/152,404/398, numerators are 303,404
Denominators are 152,398
The GCF of 303,404 is 101 .
LCM of 152,398 is 30248.
The greatest common factor of 303/152,404/398 = [GCF of 303,404]/[LCM of 152,398]= 101/30248
Therefore, the GCF of 303/152,404/398 is 101/30248.
To find the highest common factor of 303,404, we have to find the factors of both numbers and list the highest common factor.
The factors of 303 are 1, 3, 101, 303
The factors of 404 are 1, 2, 4, 101, 202, 404
The HCF of 303,404 is 101.
Lets's calculate GCF of 303,404
| 101 | 303, 404 |
| 3, 4 |
∴ So the GCF of the given numbers is 101 = 101
Greatest Common Factor of 303,404 By Matching Biggest Common Factor Method
Now, list down the factors of 303
:1,3,101,303
Now, list down the factors of 404
:1,2,4,101,202,404
Greatest Common Factor
We found the factors 303,404 . The biggest common factor number is the GCF number.
So the greatest common factor 303,404 is 101.
Lets's calculate LCM of 152,398
| 2 | 152, 398 |
| 76, 199 |
∴ So the LCM of the given numbers is 2 x 76 x 199 = 30248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/30248
Therefore, the GCF of Fractions 303/152,404/398 is 101/30248
Least Common Multiple of 152,398 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 152,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,398) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(152,398) x common factors =2 x 1 = 2
LCM(152,398) = ( 152 × 398 ) / 2
LCM(152,398) = 60496 / 2
LCM(152,398) = 30248
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FAQs on GCF of Fractions of 303/152, 404/398
1. What is the HCF of 303,404?
The HCF of 303,404 is 101
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 303/152, 404/398?
Answer: GCF of Numerators as per given numbers 303/152, 404/398 is
GCF of Numerators i.e. for 303,404 is 101
LCM of denominators i.e. for 152,398 is 30248.
Thus, GCF of Fractions is 101/30248.Finally, GCF of Fractions for 303/152, 404/398 is 101/30248.