GCF of 3994/153, 4013/9993
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3994/153, 4013/9993 i.e 1/509643 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3994/153, 4013/9993.
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 3994/153,4013/9993?
Given fractions are 3994/153,4013/9993
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 3994/153,4013/9993, numerators are 3994,4013
Denominators are 153,9993
The GCF of 3994,4013 is 1 .
LCM of 153,9993 is 509643.
The greatest common factor of 3994/153,4013/9993 = [GCF of 3994,4013]/[LCM of 153,9993]= 1/509643
Therefore, the GCF of 3994/153,4013/9993 is 1/509643.
To find the highest common factor of 3994,4013, we have to find the factors of both numbers and list the highest common factor.
The factors of 3994 are 1, 2, 1997, 3994
The factors of 4013 are 1, 4013
The HCF of 3994,4013 is 1.
Lets's calculate GCF of 3994,4013
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3994,4013 By Matching Biggest Common Factor Method
Now, list down the factors of 3994
:1,2,1997,3994
Now, list down the factors of 4013
:1,4013
Greatest Common Factor
We found the factors 3994,4013 . The biggest common factor number is the GCF number.
So the greatest common factor 3994,4013 is 1.
Lets's calculate LCM of 153,9993
| 3 | 153, 9993 |
| 51, 3331 |
∴ So the LCM of the given numbers is 3 x 51 x 3331 = 509643
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/509643
Therefore, the GCF of Fractions 3994/153,4013/9993 is 1/509643
Least Common Multiple of 153,9993 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 153,9993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,9993) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(153,9993) x common factors =3 x 1 = 3
LCM(153,9993) = ( 153 × 9993 ) / 3
LCM(153,9993) = 1528929 / 3
LCM(153,9993) = 509643
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FAQs on GCF of Fractions of 3994/153, 4013/9993
1. What is the HCF of 3994,4013?
The HCF of 3994,4013 is 1
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 3994/153, 4013/9993?
Answer: GCF of Numerators as per given numbers 3994/153, 4013/9993 is
GCF of Numerators i.e. for 3994,4013 is 1
LCM of denominators i.e. for 153,9993 is 509643.
Thus, GCF of Fractions is 1/509643.Finally, GCF of Fractions for 3994/153, 4013/9993 is 1/509643.