GCF of 7404/574, 6078/6688
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7404/574, 6078/6688 i.e 6/1919456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7404/574, 6078/6688.
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 7404/574,6078/6688?
Given fractions are 7404/574,6078/6688
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 7404/574,6078/6688, numerators are 7404,6078
Denominators are 574,6688
The GCF of 7404,6078 is 6 .
LCM of 574,6688 is 1919456.
The greatest common factor of 7404/574,6078/6688 = [GCF of 7404,6078]/[LCM of 574,6688]= 6/1919456
Therefore, the GCF of 7404/574,6078/6688 is 6/1919456.
To find the highest common factor of 7404,6078, we have to find the factors of both numbers and list the highest common factor.
The factors of 7404 are 1, 2, 3, 4, 6, 12, 617, 1234, 1851, 2468, 3702, 7404
The factors of 6078 are 1, 2, 3, 6, 1013, 2026, 3039, 6078
The HCF of 7404,6078 is 6.
Lets's calculate GCF of 7404,6078
| 2 | 7404, 6078 |
| 3 | 3702, 3039 |
| 1234, 1013 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7404,6078 By Matching Biggest Common Factor Method
Now, list down the factors of 7404
:1,2,3,4,6,12,617,1234,1851,2468,3702,7404
Now, list down the factors of 6078
:1,2,3,6,1013,2026,3039,6078
Greatest Common Factor
We found the factors 7404,6078 . The biggest common factor number is the GCF number.
So the greatest common factor 7404,6078 is 6.
Lets's calculate LCM of 574,6688
| 2 | 574, 6688 |
| 287, 3344 |
∴ So the LCM of the given numbers is 2 x 287 x 3344 = 1919456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1919456
Therefore, the GCF of Fractions 7404/574,6078/6688 is 6/1919456
Least Common Multiple of 574,6688 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 574,6688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,6688) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(574,6688) x common factors =2 x 1 = 2
LCM(574,6688) = ( 574 × 6688 ) / 2
LCM(574,6688) = 3838912 / 2
LCM(574,6688) = 1919456
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FAQs on GCF of Fractions of 7404/574, 6078/6688
1. What is the HCF of 7404,6078?
The HCF of 7404,6078 is 6
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 7404/574, 6078/6688?
Answer: GCF of Numerators as per given numbers 7404/574, 6078/6688 is
GCF of Numerators i.e. for 7404,6078 is 6
LCM of denominators i.e. for 574,6688 is 1919456.
Thus, GCF of Fractions is 6/1919456.Finally, GCF of Fractions for 7404/574, 6078/6688 is 6/1919456.