GCF of 4582/320, 2702/9584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4582/320, 2702/9584 i.e 2/191680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4582/320, 2702/9584.
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 4582/320,2702/9584?
Given fractions are 4582/320,2702/9584
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 4582/320,2702/9584, numerators are 4582,2702
Denominators are 320,9584
The GCF of 4582,2702 is 2 .
LCM of 320,9584 is 191680.
The greatest common factor of 4582/320,2702/9584 = [GCF of 4582,2702]/[LCM of 320,9584]= 2/191680
Therefore, the GCF of 4582/320,2702/9584 is 2/191680.
To find the highest common factor of 4582,2702, we have to find the factors of both numbers and list the highest common factor.
The factors of 4582 are 1, 2, 29, 58, 79, 158, 2291, 4582
The factors of 2702 are 1, 2, 7, 14, 193, 386, 1351, 2702
The HCF of 4582,2702 is 2.
Lets's calculate GCF of 4582,2702
| 2 | 4582, 2702 |
| 2291, 1351 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4582,2702 By Matching Biggest Common Factor Method
Now, list down the factors of 4582
:1,2,29,58,79,158,2291,4582
Now, list down the factors of 2702
:1,2,7,14,193,386,1351,2702
Greatest Common Factor
We found the factors 4582,2702 . The biggest common factor number is the GCF number.
So the greatest common factor 4582,2702 is 2.
Lets's calculate LCM of 320,9584
| 2 | 320, 9584 |
| 2 | 160, 4792 |
| 2 | 80, 2396 |
| 2 | 40, 1198 |
| 20, 599 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 20 x 599 = 191680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/191680
Therefore, the GCF of Fractions 4582/320,2702/9584 is 2/191680
Least Common Multiple of 320,9584 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 320,9584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,9584) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(320,9584) x common factors =16 x 1 = 16
LCM(320,9584) = ( 320 × 9584 ) / 16
LCM(320,9584) = 3066880 / 16
LCM(320,9584) = 191680
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FAQs on GCF of Fractions of 4582/320, 2702/9584
1. What is the HCF of 4582,2702?
The HCF of 4582,2702 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 4582/320, 2702/9584?
Answer: GCF of Numerators as per given numbers 4582/320, 2702/9584 is
GCF of Numerators i.e. for 4582,2702 is 2
LCM of denominators i.e. for 320,9584 is 191680.
Thus, GCF of Fractions is 2/191680.Finally, GCF of Fractions for 4582/320, 2702/9584 is 2/191680.