GCF of 3404/420, 4884/5643
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3404/420, 4884/5643 i.e 148/790020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3404/420, 4884/5643.
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 3404/420,4884/5643?
Given fractions are 3404/420,4884/5643
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 3404/420,4884/5643, numerators are 3404,4884
Denominators are 420,5643
The GCF of 3404,4884 is 148 .
LCM of 420,5643 is 790020.
The greatest common factor of 3404/420,4884/5643 = [GCF of 3404,4884]/[LCM of 420,5643]= 148/790020
Therefore, the GCF of 3404/420,4884/5643 is 148/790020.
To find the highest common factor of 3404,4884, we have to find the factors of both numbers and list the highest common factor.
The factors of 3404 are 1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702, 3404
The factors of 4884 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 132, 148, 222, 407, 444, 814, 1221, 1628, 2442, 4884
The HCF of 3404,4884 is 148.
Lets's calculate GCF of 3404,4884
| 2 | 3404, 4884 |
| 2 | 1702, 2442 |
| 37 | 851, 1221 |
| 23, 33 |
∴ So the GCF of the given numbers is 2 x 2 x 37 = 148
Greatest Common Factor of 3404,4884 By Matching Biggest Common Factor Method
Now, list down the factors of 3404
:1,2,4,23,37,46,74,92,148,851,1702,3404
Now, list down the factors of 4884
:1,2,3,4,6,11,12,22,33,37,44,66,74,111,132,148,222,407,444,814,1221,1628,2442,4884
Greatest Common Factor
We found the factors 3404,4884 . The biggest common factor number is the GCF number.
So the greatest common factor 3404,4884 is 148.
Lets's calculate LCM of 420,5643
| 3 | 420, 5643 |
| 140, 1881 |
∴ So the LCM of the given numbers is 3 x 140 x 1881 = 790020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 148/790020
Therefore, the GCF of Fractions 3404/420,4884/5643 is 148/790020
Least Common Multiple of 420,5643 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 420,5643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,5643) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(420,5643) x common factors =3 x 1 = 3
LCM(420,5643) = ( 420 × 5643 ) / 3
LCM(420,5643) = 2370060 / 3
LCM(420,5643) = 790020
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FAQs on GCF of Fractions of 3404/420, 4884/5643
1. What is the HCF of 3404,4884?
The HCF of 3404,4884 is 148
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 3404/420, 4884/5643?
Answer: GCF of Numerators as per given numbers 3404/420, 4884/5643 is
GCF of Numerators i.e. for 3404,4884 is 148
LCM of denominators i.e. for 420,5643 is 790020.
Thus, GCF of Fractions is 148/790020.Finally, GCF of Fractions for 3404/420, 4884/5643 is 148/790020.