GCF of 5848/129, 3302/987
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5848/129, 3302/987 i.e 2/42441 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5848/129, 3302/987.
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 5848/129,3302/987?
Given fractions are 5848/129,3302/987
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 5848/129,3302/987, numerators are 5848,3302
Denominators are 129,987
The GCF of 5848,3302 is 2 .
LCM of 129,987 is 42441.
The greatest common factor of 5848/129,3302/987 = [GCF of 5848,3302]/[LCM of 129,987]= 2/42441
Therefore, the GCF of 5848/129,3302/987 is 2/42441.
To find the highest common factor of 5848,3302, we have to find the factors of both numbers and list the highest common factor.
The factors of 5848 are 1, 2, 4, 8, 17, 34, 43, 68, 86, 136, 172, 344, 731, 1462, 2924, 5848
The factors of 3302 are 1, 2, 13, 26, 127, 254, 1651, 3302
The HCF of 5848,3302 is 2.
Lets's calculate GCF of 5848,3302
| 2 | 5848, 3302 |
| 2924, 1651 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5848,3302 By Matching Biggest Common Factor Method
Now, list down the factors of 5848
:1,2,4,8,17,34,43,68,86,136,172,344,731,1462,2924,5848
Now, list down the factors of 3302
:1,2,13,26,127,254,1651,3302
Greatest Common Factor
We found the factors 5848,3302 . The biggest common factor number is the GCF number.
So the greatest common factor 5848,3302 is 2.
Lets's calculate LCM of 129,987
| 3 | 129, 987 |
| 43, 329 |
∴ So the LCM of the given numbers is 3 x 43 x 329 = 42441
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/42441
Therefore, the GCF of Fractions 5848/129,3302/987 is 2/42441
Least Common Multiple of 129,987 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 129,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,987) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(129,987) x common factors =3 x 1 = 3
LCM(129,987) = ( 129 × 987 ) / 3
LCM(129,987) = 127323 / 3
LCM(129,987) = 42441
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FAQs on GCF of Fractions of 5848/129, 3302/987
1. What is the HCF of 5848,3302?
The HCF of 5848,3302 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 5848/129, 3302/987?
Answer: GCF of Numerators as per given numbers 5848/129, 3302/987 is
GCF of Numerators i.e. for 5848,3302 is 2
LCM of denominators i.e. for 129,987 is 42441.
Thus, GCF of Fractions is 2/42441.Finally, GCF of Fractions for 5848/129, 3302/987 is 2/42441.