GCF of 4808/920, 5935/795
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4808/920, 5935/795 i.e 1/146280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4808/920, 5935/795.
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 4808/920,5935/795?
Given fractions are 4808/920,5935/795
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 4808/920,5935/795, numerators are 4808,5935
Denominators are 920,795
The GCF of 4808,5935 is 1 .
LCM of 920,795 is 146280.
The greatest common factor of 4808/920,5935/795 = [GCF of 4808,5935]/[LCM of 920,795]= 1/146280
Therefore, the GCF of 4808/920,5935/795 is 1/146280.
To find the highest common factor of 4808,5935, we have to find the factors of both numbers and list the highest common factor.
The factors of 4808 are 1, 2, 4, 8, 601, 1202, 2404, 4808
The factors of 5935 are 1, 5, 1187, 5935
The HCF of 4808,5935 is 1.
Lets's calculate GCF of 4808,5935
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4808,5935 By Matching Biggest Common Factor Method
Now, list down the factors of 4808
:1,2,4,8,601,1202,2404,4808
Now, list down the factors of 5935
:1,5,1187,5935
Greatest Common Factor
We found the factors 4808,5935 . The biggest common factor number is the GCF number.
So the greatest common factor 4808,5935 is 1.
Lets's calculate LCM of 920,795
| 5 | 920, 795 |
| 184, 159 |
∴ So the LCM of the given numbers is 5 x 184 x 159 = 146280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146280
Therefore, the GCF of Fractions 4808/920,5935/795 is 1/146280
Least Common Multiple of 920,795 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 920,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(920,795) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(920,795) x common factors =5 x 1 = 5
LCM(920,795) = ( 920 × 795 ) / 5
LCM(920,795) = 731400 / 5
LCM(920,795) = 146280
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FAQs on GCF of Fractions of 4808/920, 5935/795
1. What is the HCF of 4808,5935?
The HCF of 4808,5935 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 4808/920, 5935/795?
Answer: GCF of Numerators as per given numbers 4808/920, 5935/795 is
GCF of Numerators i.e. for 4808,5935 is 1
LCM of denominators i.e. for 920,795 is 146280.
Thus, GCF of Fractions is 1/146280.Finally, GCF of Fractions for 4808/920, 5935/795 is 1/146280.