GCF of 5758/130, 5509/1494
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5758/130, 5509/1494 i.e 1/97110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5758/130, 5509/1494.
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 5758/130,5509/1494?
Given fractions are 5758/130,5509/1494
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 5758/130,5509/1494, numerators are 5758,5509
Denominators are 130,1494
The GCF of 5758,5509 is 1 .
LCM of 130,1494 is 97110.
The greatest common factor of 5758/130,5509/1494 = [GCF of 5758,5509]/[LCM of 130,1494]= 1/97110
Therefore, the GCF of 5758/130,5509/1494 is 1/97110.
To find the highest common factor of 5758,5509, we have to find the factors of both numbers and list the highest common factor.
The factors of 5758 are 1, 2, 2879, 5758
The factors of 5509 are 1, 7, 787, 5509
The HCF of 5758,5509 is 1.
Lets's calculate GCF of 5758,5509
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5758,5509 By Matching Biggest Common Factor Method
Now, list down the factors of 5758
:1,2,2879,5758
Now, list down the factors of 5509
:1,7,787,5509
Greatest Common Factor
We found the factors 5758,5509 . The biggest common factor number is the GCF number.
So the greatest common factor 5758,5509 is 1.
Lets's calculate LCM of 130,1494
| 2 | 130, 1494 |
| 65, 747 |
∴ So the LCM of the given numbers is 2 x 65 x 747 = 97110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97110
Therefore, the GCF of Fractions 5758/130,5509/1494 is 1/97110
Least Common Multiple of 130,1494 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 130,1494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,1494) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(130,1494) x common factors =2 x 1 = 2
LCM(130,1494) = ( 130 × 1494 ) / 2
LCM(130,1494) = 194220 / 2
LCM(130,1494) = 97110
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FAQs on GCF of Fractions of 5758/130, 5509/1494
1. What is the HCF of 5758,5509?
The HCF of 5758,5509 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 5758/130, 5509/1494?
Answer: GCF of Numerators as per given numbers 5758/130, 5509/1494 is
GCF of Numerators i.e. for 5758,5509 is 1
LCM of denominators i.e. for 130,1494 is 97110.
Thus, GCF of Fractions is 1/97110.Finally, GCF of Fractions for 5758/130, 5509/1494 is 1/97110.