GCF of 5098/260, 7328/1630
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5098/260, 7328/1630 i.e 2/42380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5098/260, 7328/1630.
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 5098/260,7328/1630?
Given fractions are 5098/260,7328/1630
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 5098/260,7328/1630, numerators are 5098,7328
Denominators are 260,1630
The GCF of 5098,7328 is 2 .
LCM of 260,1630 is 42380.
The greatest common factor of 5098/260,7328/1630 = [GCF of 5098,7328]/[LCM of 260,1630]= 2/42380
Therefore, the GCF of 5098/260,7328/1630 is 2/42380.
To find the highest common factor of 5098,7328, we have to find the factors of both numbers and list the highest common factor.
The factors of 5098 are 1, 2, 2549, 5098
The factors of 7328 are 1, 2, 4, 8, 16, 32, 229, 458, 916, 1832, 3664, 7328
The HCF of 5098,7328 is 2.
Lets's calculate GCF of 5098,7328
| 2 | 5098, 7328 |
| 2549, 3664 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5098,7328 By Matching Biggest Common Factor Method
Now, list down the factors of 5098
:1,2,2549,5098
Now, list down the factors of 7328
:1,2,4,8,16,32,229,458,916,1832,3664,7328
Greatest Common Factor
We found the factors 5098,7328 . The biggest common factor number is the GCF number.
So the greatest common factor 5098,7328 is 2.
Lets's calculate LCM of 260,1630
| 2 | 260, 1630 |
| 5 | 130, 815 |
| 26, 163 |
∴ So the LCM of the given numbers is 2 x 5 x 26 x 163 = 42380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/42380
Therefore, the GCF of Fractions 5098/260,7328/1630 is 2/42380
Least Common Multiple of 260,1630 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 260,1630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,1630) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(260,1630) x common factors =10 x 1 = 10
LCM(260,1630) = ( 260 × 1630 ) / 10
LCM(260,1630) = 423800 / 10
LCM(260,1630) = 42380
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FAQs on GCF of Fractions of 5098/260, 7328/1630
1. What is the HCF of 5098,7328?
The HCF of 5098,7328 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 5098/260, 7328/1630?
Answer: GCF of Numerators as per given numbers 5098/260, 7328/1630 is
GCF of Numerators i.e. for 5098,7328 is 2
LCM of denominators i.e. for 260,1630 is 42380.
Thus, GCF of Fractions is 2/42380.Finally, GCF of Fractions for 5098/260, 7328/1630 is 2/42380.