GCF of 3854/417, 7723/7815
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3854/417, 7723/7815 i.e 1/1086285 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3854/417, 7723/7815.
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 3854/417,7723/7815?
Given fractions are 3854/417,7723/7815
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 3854/417,7723/7815, numerators are 3854,7723
Denominators are 417,7815
The GCF of 3854,7723 is 1 .
LCM of 417,7815 is 1086285.
The greatest common factor of 3854/417,7723/7815 = [GCF of 3854,7723]/[LCM of 417,7815]= 1/1086285
Therefore, the GCF of 3854/417,7723/7815 is 1/1086285.
To find the highest common factor of 3854,7723, we have to find the factors of both numbers and list the highest common factor.
The factors of 3854 are 1, 2, 41, 47, 82, 94, 1927, 3854
The factors of 7723 are 1, 7723
The HCF of 3854,7723 is 1.
Lets's calculate GCF of 3854,7723
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3854,7723 By Matching Biggest Common Factor Method
Now, list down the factors of 3854
:1,2,41,47,82,94,1927,3854
Now, list down the factors of 7723
:1,7723
Greatest Common Factor
We found the factors 3854,7723 . The biggest common factor number is the GCF number.
So the greatest common factor 3854,7723 is 1.
Lets's calculate LCM of 417,7815
| 3 | 417, 7815 |
| 139, 2605 |
∴ So the LCM of the given numbers is 3 x 139 x 2605 = 1086285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1086285
Therefore, the GCF of Fractions 3854/417,7723/7815 is 1/1086285
Least Common Multiple of 417,7815 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 417,7815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,7815) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(417,7815) x common factors =3 x 1 = 3
LCM(417,7815) = ( 417 × 7815 ) / 3
LCM(417,7815) = 3258855 / 3
LCM(417,7815) = 1086285
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FAQs on GCF of Fractions of 3854/417, 7723/7815
1. What is the HCF of 3854,7723?
The HCF of 3854,7723 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 3854/417, 7723/7815?
Answer: GCF of Numerators as per given numbers 3854/417, 7723/7815 is
GCF of Numerators i.e. for 3854,7723 is 1
LCM of denominators i.e. for 417,7815 is 1086285.
Thus, GCF of Fractions is 1/1086285.Finally, GCF of Fractions for 3854/417, 7723/7815 is 1/1086285.