GCF of 2093/584, 2645/9614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2093/584, 2645/9614 i.e 23/2807288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2093/584, 2645/9614.
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 2093/584,2645/9614?
Given fractions are 2093/584,2645/9614
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 2093/584,2645/9614, numerators are 2093,2645
Denominators are 584,9614
The GCF of 2093,2645 is 23 .
LCM of 584,9614 is 2807288.
The greatest common factor of 2093/584,2645/9614 = [GCF of 2093,2645]/[LCM of 584,9614]= 23/2807288
Therefore, the GCF of 2093/584,2645/9614 is 23/2807288.
To find the highest common factor of 2093,2645, we have to find the factors of both numbers and list the highest common factor.
The factors of 2093 are 1, 7, 13, 23, 91, 161, 299, 2093
The factors of 2645 are 1, 5, 23, 115, 529, 2645
The HCF of 2093,2645 is 23.
Lets's calculate GCF of 2093,2645
| 23 | 2093, 2645 |
| 91, 115 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 2093,2645 By Matching Biggest Common Factor Method
Now, list down the factors of 2093
:1,7,13,23,91,161,299,2093
Now, list down the factors of 2645
:1,5,23,115,529,2645
Greatest Common Factor
We found the factors 2093,2645 . The biggest common factor number is the GCF number.
So the greatest common factor 2093,2645 is 23.
Lets's calculate LCM of 584,9614
| 2 | 584, 9614 |
| 292, 4807 |
∴ So the LCM of the given numbers is 2 x 292 x 4807 = 2807288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/2807288
Therefore, the GCF of Fractions 2093/584,2645/9614 is 23/2807288
Least Common Multiple of 584,9614 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 584,9614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,9614) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(584,9614) x common factors =2 x 1 = 2
LCM(584,9614) = ( 584 × 9614 ) / 2
LCM(584,9614) = 5614576 / 2
LCM(584,9614) = 2807288
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FAQs on GCF of Fractions of 2093/584, 2645/9614
1. What is the HCF of 2093,2645?
The HCF of 2093,2645 is 23
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 2093/584, 2645/9614?
Answer: GCF of Numerators as per given numbers 2093/584, 2645/9614 is
GCF of Numerators i.e. for 2093,2645 is 23
LCM of denominators i.e. for 584,9614 is 2807288.
Thus, GCF of Fractions is 23/2807288.Finally, GCF of Fractions for 2093/584, 2645/9614 is 23/2807288.