GCF of 5083/192, 8658/3970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5083/192, 8658/3970 i.e 13/381120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5083/192, 8658/3970.
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 5083/192,8658/3970?
Given fractions are 5083/192,8658/3970
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 5083/192,8658/3970, numerators are 5083,8658
Denominators are 192,3970
The GCF of 5083,8658 is 13 .
LCM of 192,3970 is 381120.
The greatest common factor of 5083/192,8658/3970 = [GCF of 5083,8658]/[LCM of 192,3970]= 13/381120
Therefore, the GCF of 5083/192,8658/3970 is 13/381120.
To find the highest common factor of 5083,8658, we have to find the factors of both numbers and list the highest common factor.
The factors of 5083 are 1, 13, 17, 23, 221, 299, 391, 5083
The factors of 8658 are 1, 2, 3, 6, 9, 13, 18, 26, 37, 39, 74, 78, 111, 117, 222, 234, 333, 481, 666, 962, 1443, 2886, 4329, 8658
The HCF of 5083,8658 is 13.
Lets's calculate GCF of 5083,8658
| 13 | 5083, 8658 |
| 391, 666 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 5083,8658 By Matching Biggest Common Factor Method
Now, list down the factors of 5083
:1,13,17,23,221,299,391,5083
Now, list down the factors of 8658
:1,2,3,6,9,13,18,26,37,39,74,78,111,117,222,234,333,481,666,962,1443,2886,4329,8658
Greatest Common Factor
We found the factors 5083,8658 . The biggest common factor number is the GCF number.
So the greatest common factor 5083,8658 is 13.
Lets's calculate LCM of 192,3970
| 2 | 192, 3970 |
| 96, 1985 |
∴ So the LCM of the given numbers is 2 x 96 x 1985 = 381120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/381120
Therefore, the GCF of Fractions 5083/192,8658/3970 is 13/381120
Least Common Multiple of 192,3970 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 192,3970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,3970) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(192,3970) x common factors =2 x 1 = 2
LCM(192,3970) = ( 192 × 3970 ) / 2
LCM(192,3970) = 762240 / 2
LCM(192,3970) = 381120
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FAQs on GCF of Fractions of 5083/192, 8658/3970
1. What is the HCF of 5083,8658?
The HCF of 5083,8658 is 13
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 5083/192, 8658/3970?
Answer: GCF of Numerators as per given numbers 5083/192, 8658/3970 is
GCF of Numerators i.e. for 5083,8658 is 13
LCM of denominators i.e. for 192,3970 is 381120.
Thus, GCF of Fractions is 13/381120.Finally, GCF of Fractions for 5083/192, 8658/3970 is 13/381120.