GCF of 3448/481, 4914/3640
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3448/481, 4914/3640 i.e 2/134680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3448/481, 4914/3640.
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 3448/481,4914/3640?
Given fractions are 3448/481,4914/3640
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 3448/481,4914/3640, numerators are 3448,4914
Denominators are 481,3640
The GCF of 3448,4914 is 2 .
LCM of 481,3640 is 134680.
The greatest common factor of 3448/481,4914/3640 = [GCF of 3448,4914]/[LCM of 481,3640]= 2/134680
Therefore, the GCF of 3448/481,4914/3640 is 2/134680.
To find the highest common factor of 3448,4914, we have to find the factors of both numbers and list the highest common factor.
The factors of 3448 are 1, 2, 4, 8, 431, 862, 1724, 3448
The factors of 4914 are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457, 4914
The HCF of 3448,4914 is 2.
Lets's calculate GCF of 3448,4914
| 2 | 3448, 4914 |
| 1724, 2457 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3448,4914 By Matching Biggest Common Factor Method
Now, list down the factors of 3448
:1,2,4,8,431,862,1724,3448
Now, list down the factors of 4914
:1,2,3,6,7,9,13,14,18,21,26,27,39,42,54,63,78,91,117,126,182,189,234,273,351,378,546,702,819,1638,2457,4914
Greatest Common Factor
We found the factors 3448,4914 . The biggest common factor number is the GCF number.
So the greatest common factor 3448,4914 is 2.
Lets's calculate LCM of 481,3640
| 13 | 481, 3640 |
| 37, 280 |
∴ So the LCM of the given numbers is 13 x 37 x 280 = 134680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/134680
Therefore, the GCF of Fractions 3448/481,4914/3640 is 2/134680
Least Common Multiple of 481,3640 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 481,3640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(481,3640) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(481,3640) x common factors =13 x 1 = 13
LCM(481,3640) = ( 481 × 3640 ) / 13
LCM(481,3640) = 1750840 / 13
LCM(481,3640) = 134680
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FAQs on GCF of Fractions of 3448/481, 4914/3640
1. What is the HCF of 3448,4914?
The HCF of 3448,4914 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 3448/481, 4914/3640?
Answer: GCF of Numerators as per given numbers 3448/481, 4914/3640 is
GCF of Numerators i.e. for 3448,4914 is 2
LCM of denominators i.e. for 481,3640 is 134680.
Thus, GCF of Fractions is 2/134680.Finally, GCF of Fractions for 3448/481, 4914/3640 is 2/134680.