GCF of 3785/298, 3875/326
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3785/298, 3875/326 i.e 5/48574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3785/298, 3875/326.
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 3785/298,3875/326?
Given fractions are 3785/298,3875/326
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 3785/298,3875/326, numerators are 3785,3875
Denominators are 298,326
The GCF of 3785,3875 is 5 .
LCM of 298,326 is 48574.
The greatest common factor of 3785/298,3875/326 = [GCF of 3785,3875]/[LCM of 298,326]= 5/48574
Therefore, the GCF of 3785/298,3875/326 is 5/48574.
To find the highest common factor of 3785,3875, we have to find the factors of both numbers and list the highest common factor.
The factors of 3785 are 1, 5, 757, 3785
The factors of 3875 are 1, 5, 25, 31, 125, 155, 775, 3875
The HCF of 3785,3875 is 5.
Lets's calculate GCF of 3785,3875
| 5 | 3785, 3875 |
| 757, 775 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3785,3875 By Matching Biggest Common Factor Method
Now, list down the factors of 3785
:1,5,757,3785
Now, list down the factors of 3875
:1,5,25,31,125,155,775,3875
Greatest Common Factor
We found the factors 3785,3875 . The biggest common factor number is the GCF number.
So the greatest common factor 3785,3875 is 5.
Lets's calculate LCM of 298,326
| 2 | 298, 326 |
| 149, 163 |
∴ So the LCM of the given numbers is 2 x 149 x 163 = 48574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/48574
Therefore, the GCF of Fractions 3785/298,3875/326 is 5/48574
Least Common Multiple of 298,326 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 298,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,326) x common factors =2 x 1 = 2
LCM(298,326) = ( 298 × 326 ) / 2
LCM(298,326) = 97148 / 2
LCM(298,326) = 48574
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3785/298, 3875/326
1. What is the HCF of 3785,3875?
The HCF of 3785,3875 is 5
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 3785/298, 3875/326?
Answer: GCF of Numerators as per given numbers 3785/298, 3875/326 is
GCF of Numerators i.e. for 3785,3875 is 5
LCM of denominators i.e. for 298,326 is 48574.
Thus, GCF of Fractions is 5/48574.Finally, GCF of Fractions for 3785/298, 3875/326 is 5/48574.