GCF of 3668/478, 4842/7013
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3668/478, 4842/7013 i.e 2/3352214 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3668/478, 4842/7013.
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 3668/478,4842/7013?
Given fractions are 3668/478,4842/7013
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 3668/478,4842/7013, numerators are 3668,4842
Denominators are 478,7013
The GCF of 3668,4842 is 2 .
LCM of 478,7013 is 3352214.
The greatest common factor of 3668/478,4842/7013 = [GCF of 3668,4842]/[LCM of 478,7013]= 2/3352214
Therefore, the GCF of 3668/478,4842/7013 is 2/3352214.
To find the highest common factor of 3668,4842, we have to find the factors of both numbers and list the highest common factor.
The factors of 3668 are 1, 2, 4, 7, 14, 28, 131, 262, 524, 917, 1834, 3668
The factors of 4842 are 1, 2, 3, 6, 9, 18, 269, 538, 807, 1614, 2421, 4842
The HCF of 3668,4842 is 2.
Lets's calculate GCF of 3668,4842
| 2 | 3668, 4842 |
| 1834, 2421 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3668,4842 By Matching Biggest Common Factor Method
Now, list down the factors of 3668
:1,2,4,7,14,28,131,262,524,917,1834,3668
Now, list down the factors of 4842
:1,2,3,6,9,18,269,538,807,1614,2421,4842
Greatest Common Factor
We found the factors 3668,4842 . The biggest common factor number is the GCF number.
So the greatest common factor 3668,4842 is 2.
Lets's calculate LCM of 478,7013
Given numbers has no common factors except 1. So, there LCM is their product i.e 3352214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3352214
Therefore, the GCF of Fractions 3668/478,4842/7013 is 2/3352214
Least Common Multiple of 478,7013 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 478,7013 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,7013) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(478,7013) x common factors =1 x 1 = 1
LCM(478,7013) = ( 478 × 7013 ) / 1
LCM(478,7013) = 3352214 / 1
LCM(478,7013) = 3352214
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3668/478, 4842/7013
1. What is the HCF of 3668,4842?
The HCF of 3668,4842 is 2
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 3668/478, 4842/7013?
Answer: GCF of Numerators as per given numbers 3668/478, 4842/7013 is
GCF of Numerators i.e. for 3668,4842 is 2
LCM of denominators i.e. for 478,7013 is 3352214.
Thus, GCF of Fractions is 2/3352214.Finally, GCF of Fractions for 3668/478, 4842/7013 is 2/3352214.