GCF of 2421/795, 3793/8112
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2421/795, 3793/8112 i.e 1/2149680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2421/795, 3793/8112.
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 2421/795,3793/8112?
Given fractions are 2421/795,3793/8112
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 2421/795,3793/8112, numerators are 2421,3793
Denominators are 795,8112
The GCF of 2421,3793 is 1 .
LCM of 795,8112 is 2149680.
The greatest common factor of 2421/795,3793/8112 = [GCF of 2421,3793]/[LCM of 795,8112]= 1/2149680
Therefore, the GCF of 2421/795,3793/8112 is 1/2149680.
To find the highest common factor of 2421,3793, we have to find the factors of both numbers and list the highest common factor.
The factors of 2421 are 1, 3, 9, 269, 807, 2421
The factors of 3793 are 1, 3793
The HCF of 2421,3793 is 1.
Lets's calculate GCF of 2421,3793
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2421,3793 By Matching Biggest Common Factor Method
Now, list down the factors of 2421
:1,3,9,269,807,2421
Now, list down the factors of 3793
:1,3793
Greatest Common Factor
We found the factors 2421,3793 . The biggest common factor number is the GCF number.
So the greatest common factor 2421,3793 is 1.
Lets's calculate LCM of 795,8112
| 3 | 795, 8112 |
| 265, 2704 |
∴ So the LCM of the given numbers is 3 x 265 x 2704 = 2149680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2149680
Therefore, the GCF of Fractions 2421/795,3793/8112 is 1/2149680
Least Common Multiple of 795,8112 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 795,8112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,8112) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(795,8112) x common factors =3 x 1 = 3
LCM(795,8112) = ( 795 × 8112 ) / 3
LCM(795,8112) = 6449040 / 3
LCM(795,8112) = 2149680
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FAQs on GCF of Fractions of 2421/795, 3793/8112
1. What is the HCF of 2421,3793?
The HCF of 2421,3793 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 2421/795, 3793/8112?
Answer: GCF of Numerators as per given numbers 2421/795, 3793/8112 is
GCF of Numerators i.e. for 2421,3793 is 1
LCM of denominators i.e. for 795,8112 is 2149680.
Thus, GCF of Fractions is 1/2149680.Finally, GCF of Fractions for 2421/795, 3793/8112 is 1/2149680.