GCF of 1904/502, 4838/8848
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1904/502, 4838/8848 i.e 2/2220848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1904/502, 4838/8848.
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 1904/502,4838/8848?
Given fractions are 1904/502,4838/8848
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 1904/502,4838/8848, numerators are 1904,4838
Denominators are 502,8848
The GCF of 1904,4838 is 2 .
LCM of 502,8848 is 2220848.
The greatest common factor of 1904/502,4838/8848 = [GCF of 1904,4838]/[LCM of 502,8848]= 2/2220848
Therefore, the GCF of 1904/502,4838/8848 is 2/2220848.
To find the highest common factor of 1904,4838, we have to find the factors of both numbers and list the highest common factor.
The factors of 1904 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 56, 68, 112, 119, 136, 238, 272, 476, 952, 1904
The factors of 4838 are 1, 2, 41, 59, 82, 118, 2419, 4838
The HCF of 1904,4838 is 2.
Lets's calculate GCF of 1904,4838
| 2 | 1904, 4838 |
| 952, 2419 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1904,4838 By Matching Biggest Common Factor Method
Now, list down the factors of 1904
:1,2,4,7,8,14,16,17,28,34,56,68,112,119,136,238,272,476,952,1904
Now, list down the factors of 4838
:1,2,41,59,82,118,2419,4838
Greatest Common Factor
We found the factors 1904,4838 . The biggest common factor number is the GCF number.
So the greatest common factor 1904,4838 is 2.
Lets's calculate LCM of 502,8848
| 2 | 502, 8848 |
| 251, 4424 |
∴ So the LCM of the given numbers is 2 x 251 x 4424 = 2220848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2220848
Therefore, the GCF of Fractions 1904/502,4838/8848 is 2/2220848
Least Common Multiple of 502,8848 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 502,8848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,8848) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(502,8848) x common factors =2 x 1 = 2
LCM(502,8848) = ( 502 × 8848 ) / 2
LCM(502,8848) = 4441696 / 2
LCM(502,8848) = 2220848
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FAQs on GCF of Fractions of 1904/502, 4838/8848
1. What is the HCF of 1904,4838?
The HCF of 1904,4838 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 1904/502, 4838/8848?
Answer: GCF of Numerators as per given numbers 1904/502, 4838/8848 is
GCF of Numerators i.e. for 1904,4838 is 2
LCM of denominators i.e. for 502,8848 is 2220848.
Thus, GCF of Fractions is 2/2220848.Finally, GCF of Fractions for 1904/502, 4838/8848 is 2/2220848.