GCF of 113/75, 408/5271
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 113/75, 408/5271 i.e 1/131775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 113/75, 408/5271.
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 113/75,408/5271?
Given fractions are 113/75,408/5271
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 113/75,408/5271, numerators are 113,408
Denominators are 75,5271
The GCF of 113,408 is 1 .
LCM of 75,5271 is 131775.
The greatest common factor of 113/75,408/5271 = [GCF of 113,408]/[LCM of 75,5271]= 1/131775
Therefore, the GCF of 113/75,408/5271 is 1/131775.
To find the highest common factor of 113,408, we have to find the factors of both numbers and list the highest common factor.
The factors of 113 are 1, 113
The factors of 408 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
The HCF of 113,408 is 1.
Lets's calculate GCF of 113,408
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 113,408 By Matching Biggest Common Factor Method
Now, list down the factors of 113
:1,113
Now, list down the factors of 408
:1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Greatest Common Factor
We found the factors 113,408 . The biggest common factor number is the GCF number.
So the greatest common factor 113,408 is 1.
Lets's calculate LCM of 75,5271
| 3 | 75, 5271 |
| 25, 1757 |
∴ So the LCM of the given numbers is 3 x 25 x 1757 = 131775
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131775
Therefore, the GCF of Fractions 113/75,408/5271 is 1/131775
Least Common Multiple of 75,5271 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 75,5271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,5271) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(75,5271) x common factors =3 x 1 = 3
LCM(75,5271) = ( 75 × 5271 ) / 3
LCM(75,5271) = 395325 / 3
LCM(75,5271) = 131775
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FAQs on GCF of Fractions of 113/75, 408/5271
1. What is the HCF of 113,408?
The HCF of 113,408 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 113/75, 408/5271?
Answer: GCF of Numerators as per given numbers 113/75, 408/5271 is
GCF of Numerators i.e. for 113,408 is 1
LCM of denominators i.e. for 75,5271 is 131775.
Thus, GCF of Fractions is 1/131775.Finally, GCF of Fractions for 113/75, 408/5271 is 1/131775.