GCF of 4141/794, 3149/750
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4141/794, 3149/750 i.e 1/297750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4141/794, 3149/750.
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 4141/794,3149/750?
Given fractions are 4141/794,3149/750
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 4141/794,3149/750, numerators are 4141,3149
Denominators are 794,750
The GCF of 4141,3149 is 1 .
LCM of 794,750 is 297750.
The greatest common factor of 4141/794,3149/750 = [GCF of 4141,3149]/[LCM of 794,750]= 1/297750
Therefore, the GCF of 4141/794,3149/750 is 1/297750.
To find the highest common factor of 4141,3149, we have to find the factors of both numbers and list the highest common factor.
The factors of 4141 are 1, 41, 101, 4141
The factors of 3149 are 1, 47, 67, 3149
The HCF of 4141,3149 is 1.
Lets's calculate GCF of 4141,3149
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4141,3149 By Matching Biggest Common Factor Method
Now, list down the factors of 4141
:1,41,101,4141
Now, list down the factors of 3149
:1,47,67,3149
Greatest Common Factor
We found the factors 4141,3149 . The biggest common factor number is the GCF number.
So the greatest common factor 4141,3149 is 1.
Lets's calculate LCM of 794,750
| 2 | 794, 750 |
| 397, 375 |
∴ So the LCM of the given numbers is 2 x 397 x 375 = 297750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/297750
Therefore, the GCF of Fractions 4141/794,3149/750 is 1/297750
Least Common Multiple of 794,750 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 794,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(794,750) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(794,750) x common factors =2 x 1 = 2
LCM(794,750) = ( 794 × 750 ) / 2
LCM(794,750) = 595500 / 2
LCM(794,750) = 297750
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FAQs on GCF of Fractions of 4141/794, 3149/750
1. What is the HCF of 4141,3149?
The HCF of 4141,3149 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 4141/794, 3149/750?
Answer: GCF of Numerators as per given numbers 4141/794, 3149/750 is
GCF of Numerators i.e. for 4141,3149 is 1
LCM of denominators i.e. for 794,750 is 297750.
Thus, GCF of Fractions is 1/297750.Finally, GCF of Fractions for 4141/794, 3149/750 is 1/297750.