GCF of 7404/478, 6994/7427
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7404/478, 6994/7427 i.e 2/3550106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7404/478, 6994/7427.
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 7404/478,6994/7427?
Given fractions are 7404/478,6994/7427
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 7404/478,6994/7427, numerators are 7404,6994
Denominators are 478,7427
The GCF of 7404,6994 is 2 .
LCM of 478,7427 is 3550106.
The greatest common factor of 7404/478,6994/7427 = [GCF of 7404,6994]/[LCM of 478,7427]= 2/3550106
Therefore, the GCF of 7404/478,6994/7427 is 2/3550106.
To find the highest common factor of 7404,6994, 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 6994 are 1, 2, 13, 26, 269, 538, 3497, 6994
The HCF of 7404,6994 is 2.
Lets's calculate GCF of 7404,6994
| 2 | 7404, 6994 |
| 3702, 3497 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7404,6994 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 6994
:1,2,13,26,269,538,3497,6994
Greatest Common Factor
We found the factors 7404,6994 . The biggest common factor number is the GCF number.
So the greatest common factor 7404,6994 is 2.
Lets's calculate LCM of 478,7427
Given numbers has no common factors except 1. So, there LCM is their product i.e 3550106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3550106
Therefore, the GCF of Fractions 7404/478,6994/7427 is 2/3550106
Least Common Multiple of 478,7427 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 478,7427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,7427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(478,7427) x common factors =1 x 1 = 1
LCM(478,7427) = ( 478 × 7427 ) / 1
LCM(478,7427) = 3550106 / 1
LCM(478,7427) = 3550106
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FAQs on GCF of Fractions of 7404/478, 6994/7427
1. What is the HCF of 7404,6994?
The HCF of 7404,6994 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 7404/478, 6994/7427?
Answer: GCF of Numerators as per given numbers 7404/478, 6994/7427 is
GCF of Numerators i.e. for 7404,6994 is 2
LCM of denominators i.e. for 478,7427 is 3550106.
Thus, GCF of Fractions is 2/3550106.Finally, GCF of Fractions for 7404/478, 6994/7427 is 2/3550106.