GCF of 8418/834, 7303/4004
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8418/834, 7303/4004 i.e 1/1669668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8418/834, 7303/4004.
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 8418/834,7303/4004?
Given fractions are 8418/834,7303/4004
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 8418/834,7303/4004, numerators are 8418,7303
Denominators are 834,4004
The GCF of 8418,7303 is 1 .
LCM of 834,4004 is 1669668.
The greatest common factor of 8418/834,7303/4004 = [GCF of 8418,7303]/[LCM of 834,4004]= 1/1669668
Therefore, the GCF of 8418/834,7303/4004 is 1/1669668.
To find the highest common factor of 8418,7303, we have to find the factors of both numbers and list the highest common factor.
The factors of 8418 are 1, 2, 3, 6, 23, 46, 61, 69, 122, 138, 183, 366, 1403, 2806, 4209, 8418
The factors of 7303 are 1, 67, 109, 7303
The HCF of 8418,7303 is 1.
Lets's calculate GCF of 8418,7303
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8418,7303 By Matching Biggest Common Factor Method
Now, list down the factors of 8418
:1,2,3,6,23,46,61,69,122,138,183,366,1403,2806,4209,8418
Now, list down the factors of 7303
:1,67,109,7303
Greatest Common Factor
We found the factors 8418,7303 . The biggest common factor number is the GCF number.
So the greatest common factor 8418,7303 is 1.
Lets's calculate LCM of 834,4004
| 2 | 834, 4004 |
| 417, 2002 |
∴ So the LCM of the given numbers is 2 x 417 x 2002 = 1669668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1669668
Therefore, the GCF of Fractions 8418/834,7303/4004 is 1/1669668
Least Common Multiple of 834,4004 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 834,4004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(834,4004) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(834,4004) x common factors =2 x 1 = 2
LCM(834,4004) = ( 834 × 4004 ) / 2
LCM(834,4004) = 3339336 / 2
LCM(834,4004) = 1669668
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8418/834, 7303/4004
1. What is the HCF of 8418,7303?
The HCF of 8418,7303 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 8418/834, 7303/4004?
Answer: GCF of Numerators as per given numbers 8418/834, 7303/4004 is
GCF of Numerators i.e. for 8418,7303 is 1
LCM of denominators i.e. for 834,4004 is 1669668.
Thus, GCF of Fractions is 1/1669668.Finally, GCF of Fractions for 8418/834, 7303/4004 is 1/1669668.