GCF of 7489/150, 5471/578
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7489/150, 5471/578 i.e 1/43350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7489/150, 5471/578.
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 7489/150,5471/578?
Given fractions are 7489/150,5471/578
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 7489/150,5471/578, numerators are 7489,5471
Denominators are 150,578
The GCF of 7489,5471 is 1 .
LCM of 150,578 is 43350.
The greatest common factor of 7489/150,5471/578 = [GCF of 7489,5471]/[LCM of 150,578]= 1/43350
Therefore, the GCF of 7489/150,5471/578 is 1/43350.
To find the highest common factor of 7489,5471, we have to find the factors of both numbers and list the highest common factor.
The factors of 7489 are 1, 7489
The factors of 5471 are 1, 5471
The HCF of 7489,5471 is 1.
Lets's calculate GCF of 7489,5471
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7489,5471 By Matching Biggest Common Factor Method
Now, list down the factors of 7489
:1,7489
Now, list down the factors of 5471
:1,5471
Greatest Common Factor
We found the factors 7489,5471 . The biggest common factor number is the GCF number.
So the greatest common factor 7489,5471 is 1.
Lets's calculate LCM of 150,578
| 2 | 150, 578 |
| 75, 289 |
∴ So the LCM of the given numbers is 2 x 75 x 289 = 43350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43350
Therefore, the GCF of Fractions 7489/150,5471/578 is 1/43350
Least Common Multiple of 150,578 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 150,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,578) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(150,578) x common factors =2 x 1 = 2
LCM(150,578) = ( 150 × 578 ) / 2
LCM(150,578) = 86700 / 2
LCM(150,578) = 43350
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FAQs on GCF of Fractions of 7489/150, 5471/578
1. What is the HCF of 7489,5471?
The HCF of 7489,5471 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 7489/150, 5471/578?
Answer: GCF of Numerators as per given numbers 7489/150, 5471/578 is
GCF of Numerators i.e. for 7489,5471 is 1
LCM of denominators i.e. for 150,578 is 43350.
Thus, GCF of Fractions is 1/43350.Finally, GCF of Fractions for 7489/150, 5471/578 is 1/43350.