GCF of 3941/720, 2621/3858
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3941/720, 2621/3858 i.e 1/462960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3941/720, 2621/3858.
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 3941/720,2621/3858?
Given fractions are 3941/720,2621/3858
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 3941/720,2621/3858, numerators are 3941,2621
Denominators are 720,3858
The GCF of 3941,2621 is 1 .
LCM of 720,3858 is 462960.
The greatest common factor of 3941/720,2621/3858 = [GCF of 3941,2621]/[LCM of 720,3858]= 1/462960
Therefore, the GCF of 3941/720,2621/3858 is 1/462960.
To find the highest common factor of 3941,2621, we have to find the factors of both numbers and list the highest common factor.
The factors of 3941 are 1, 7, 563, 3941
The factors of 2621 are 1, 2621
The HCF of 3941,2621 is 1.
Lets's calculate GCF of 3941,2621
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3941,2621 By Matching Biggest Common Factor Method
Now, list down the factors of 3941
:1,7,563,3941
Now, list down the factors of 2621
:1,2621
Greatest Common Factor
We found the factors 3941,2621 . The biggest common factor number is the GCF number.
So the greatest common factor 3941,2621 is 1.
Lets's calculate LCM of 720,3858
| 2 | 720, 3858 |
| 3 | 360, 1929 |
| 120, 643 |
∴ So the LCM of the given numbers is 2 x 3 x 120 x 643 = 462960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/462960
Therefore, the GCF of Fractions 3941/720,2621/3858 is 1/462960
Least Common Multiple of 720,3858 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 720,3858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,3858) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(720,3858) x common factors =6 x 1 = 6
LCM(720,3858) = ( 720 × 3858 ) / 6
LCM(720,3858) = 2777760 / 6
LCM(720,3858) = 462960
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FAQs on GCF of Fractions of 3941/720, 2621/3858
1. What is the HCF of 3941,2621?
The HCF of 3941,2621 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 3941/720, 2621/3858?
Answer: GCF of Numerators as per given numbers 3941/720, 2621/3858 is
GCF of Numerators i.e. for 3941,2621 is 1
LCM of denominators i.e. for 720,3858 is 462960.
Thus, GCF of Fractions is 1/462960.Finally, GCF of Fractions for 3941/720, 2621/3858 is 1/462960.