GCF of 3425/159, 4448/5217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3425/159, 4448/5217 i.e 1/276501 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3425/159, 4448/5217.
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 3425/159,4448/5217?
Given fractions are 3425/159,4448/5217
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 3425/159,4448/5217, numerators are 3425,4448
Denominators are 159,5217
The GCF of 3425,4448 is 1 .
LCM of 159,5217 is 276501.
The greatest common factor of 3425/159,4448/5217 = [GCF of 3425,4448]/[LCM of 159,5217]= 1/276501
Therefore, the GCF of 3425/159,4448/5217 is 1/276501.
To find the highest common factor of 3425,4448, we have to find the factors of both numbers and list the highest common factor.
The factors of 3425 are 1, 5, 25, 137, 685, 3425
The factors of 4448 are 1, 2, 4, 8, 16, 32, 139, 278, 556, 1112, 2224, 4448
The HCF of 3425,4448 is 1.
Lets's calculate GCF of 3425,4448
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3425,4448 By Matching Biggest Common Factor Method
Now, list down the factors of 3425
:1,5,25,137,685,3425
Now, list down the factors of 4448
:1,2,4,8,16,32,139,278,556,1112,2224,4448
Greatest Common Factor
We found the factors 3425,4448 . The biggest common factor number is the GCF number.
So the greatest common factor 3425,4448 is 1.
Lets's calculate LCM of 159,5217
| 3 | 159, 5217 |
| 53, 1739 |
∴ So the LCM of the given numbers is 3 x 53 x 1739 = 276501
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/276501
Therefore, the GCF of Fractions 3425/159,4448/5217 is 1/276501
Least Common Multiple of 159,5217 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 159,5217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,5217) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,5217) x common factors =3 x 1 = 3
LCM(159,5217) = ( 159 × 5217 ) / 3
LCM(159,5217) = 829503 / 3
LCM(159,5217) = 276501
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FAQs on GCF of Fractions of 3425/159, 4448/5217
1. What is the HCF of 3425,4448?
The HCF of 3425,4448 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 3425/159, 4448/5217?
Answer: GCF of Numerators as per given numbers 3425/159, 4448/5217 is
GCF of Numerators i.e. for 3425,4448 is 1
LCM of denominators i.e. for 159,5217 is 276501.
Thus, GCF of Fractions is 1/276501.Finally, GCF of Fractions for 3425/159, 4448/5217 is 1/276501.