GCF of 6385/582, 9340/9758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6385/582, 9340/9758 i.e 5/2839578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6385/582, 9340/9758.
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 6385/582,9340/9758?
Given fractions are 6385/582,9340/9758
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 6385/582,9340/9758, numerators are 6385,9340
Denominators are 582,9758
The GCF of 6385,9340 is 5 .
LCM of 582,9758 is 2839578.
The greatest common factor of 6385/582,9340/9758 = [GCF of 6385,9340]/[LCM of 582,9758]= 5/2839578
Therefore, the GCF of 6385/582,9340/9758 is 5/2839578.
To find the highest common factor of 6385,9340, we have to find the factors of both numbers and list the highest common factor.
The factors of 6385 are 1, 5, 1277, 6385
The factors of 9340 are 1, 2, 4, 5, 10, 20, 467, 934, 1868, 2335, 4670, 9340
The HCF of 6385,9340 is 5.
Lets's calculate GCF of 6385,9340
| 5 | 6385, 9340 |
| 1277, 1868 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6385,9340 By Matching Biggest Common Factor Method
Now, list down the factors of 6385
:1,5,1277,6385
Now, list down the factors of 9340
:1,2,4,5,10,20,467,934,1868,2335,4670,9340
Greatest Common Factor
We found the factors 6385,9340 . The biggest common factor number is the GCF number.
So the greatest common factor 6385,9340 is 5.
Lets's calculate LCM of 582,9758
| 2 | 582, 9758 |
| 291, 4879 |
∴ So the LCM of the given numbers is 2 x 291 x 4879 = 2839578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2839578
Therefore, the GCF of Fractions 6385/582,9340/9758 is 5/2839578
Least Common Multiple of 582,9758 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 582,9758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,9758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(582,9758) x common factors =2 x 1 = 2
LCM(582,9758) = ( 582 × 9758 ) / 2
LCM(582,9758) = 5679156 / 2
LCM(582,9758) = 2839578
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FAQs on GCF of Fractions of 6385/582, 9340/9758
1. What is the HCF of 6385,9340?
The HCF of 6385,9340 is 5
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 6385/582, 9340/9758?
Answer: GCF of Numerators as per given numbers 6385/582, 9340/9758 is
GCF of Numerators i.e. for 6385,9340 is 5
LCM of denominators i.e. for 582,9758 is 2839578.
Thus, GCF of Fractions is 5/2839578.Finally, GCF of Fractions for 6385/582, 9340/9758 is 5/2839578.