GCF of 5908/728, 7404/3733
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5908/728, 7404/3733 i.e 4/2717624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5908/728, 7404/3733.
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 5908/728,7404/3733?
Given fractions are 5908/728,7404/3733
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 5908/728,7404/3733, numerators are 5908,7404
Denominators are 728,3733
The GCF of 5908,7404 is 4 .
LCM of 728,3733 is 2717624.
The greatest common factor of 5908/728,7404/3733 = [GCF of 5908,7404]/[LCM of 728,3733]= 4/2717624
Therefore, the GCF of 5908/728,7404/3733 is 4/2717624.
To find the highest common factor of 5908,7404, we have to find the factors of both numbers and list the highest common factor.
The factors of 5908 are 1, 2, 4, 7, 14, 28, 211, 422, 844, 1477, 2954, 5908
The factors of 7404 are 1, 2, 3, 4, 6, 12, 617, 1234, 1851, 2468, 3702, 7404
The HCF of 5908,7404 is 4.
Lets's calculate GCF of 5908,7404
| 2 | 5908, 7404 |
| 2 | 2954, 3702 |
| 1477, 1851 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5908,7404 By Matching Biggest Common Factor Method
Now, list down the factors of 5908
:1,2,4,7,14,28,211,422,844,1477,2954,5908
Now, list down the factors of 7404
:1,2,3,4,6,12,617,1234,1851,2468,3702,7404
Greatest Common Factor
We found the factors 5908,7404 . The biggest common factor number is the GCF number.
So the greatest common factor 5908,7404 is 4.
Lets's calculate LCM of 728,3733
Given numbers has no common factors except 1. So, there LCM is their product i.e 2717624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2717624
Therefore, the GCF of Fractions 5908/728,7404/3733 is 4/2717624
Least Common Multiple of 728,3733 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 728,3733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,3733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(728,3733) x common factors =1 x 1 = 1
LCM(728,3733) = ( 728 × 3733 ) / 1
LCM(728,3733) = 2717624 / 1
LCM(728,3733) = 2717624
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FAQs on GCF of Fractions of 5908/728, 7404/3733
1. What is the HCF of 5908,7404?
The HCF of 5908,7404 is 4
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 5908/728, 7404/3733?
Answer: GCF of Numerators as per given numbers 5908/728, 7404/3733 is
GCF of Numerators i.e. for 5908,7404 is 4
LCM of denominators i.e. for 728,3733 is 2717624.
Thus, GCF of Fractions is 4/2717624.Finally, GCF of Fractions for 5908/728, 7404/3733 is 4/2717624.