GCF of 104/648, 5140/9872
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 104/648, 5140/9872 i.e 4/799632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 104/648, 5140/9872.
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 104/648,5140/9872?
Given fractions are 104/648,5140/9872
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 104/648,5140/9872, numerators are 104,5140
Denominators are 648,9872
The GCF of 104,5140 is 4 .
LCM of 648,9872 is 799632.
The greatest common factor of 104/648,5140/9872 = [GCF of 104,5140]/[LCM of 648,9872]= 4/799632
Therefore, the GCF of 104/648,5140/9872 is 4/799632.
To find the highest common factor of 104,5140, we have to find the factors of both numbers and list the highest common factor.
The factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104
The factors of 5140 are 1, 2, 4, 5, 10, 20, 257, 514, 1028, 1285, 2570, 5140
The HCF of 104,5140 is 4.
Lets's calculate GCF of 104,5140
| 2 | 104, 5140 |
| 2 | 52, 2570 |
| 26, 1285 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 104,5140 By Matching Biggest Common Factor Method
Now, list down the factors of 104
:1,2,4,8,13,26,52,104
Now, list down the factors of 5140
:1,2,4,5,10,20,257,514,1028,1285,2570,5140
Greatest Common Factor
We found the factors 104,5140 . The biggest common factor number is the GCF number.
So the greatest common factor 104,5140 is 4.
Lets's calculate LCM of 648,9872
| 2 | 648, 9872 |
| 2 | 324, 4936 |
| 2 | 162, 2468 |
| 81, 1234 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 81 x 1234 = 799632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/799632
Therefore, the GCF of Fractions 104/648,5140/9872 is 4/799632
Least Common Multiple of 648,9872 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 648,9872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,9872) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(648,9872) x common factors =8 x 1 = 8
LCM(648,9872) = ( 648 × 9872 ) / 8
LCM(648,9872) = 6397056 / 8
LCM(648,9872) = 799632
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FAQs on GCF of Fractions of 104/648, 5140/9872
1. What is the HCF of 104,5140?
The HCF of 104,5140 is 4
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 104/648, 5140/9872?
Answer: GCF of Numerators as per given numbers 104/648, 5140/9872 is
GCF of Numerators i.e. for 104,5140 is 4
LCM of denominators i.e. for 648,9872 is 799632.
Thus, GCF of Fractions is 4/799632.Finally, GCF of Fractions for 104/648, 5140/9872 is 4/799632.