GCF of 3548/336, 1712/4064
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3548/336, 1712/4064 i.e 4/85344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3548/336, 1712/4064.
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 3548/336,1712/4064?
Given fractions are 3548/336,1712/4064
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 3548/336,1712/4064, numerators are 3548,1712
Denominators are 336,4064
The GCF of 3548,1712 is 4 .
LCM of 336,4064 is 85344.
The greatest common factor of 3548/336,1712/4064 = [GCF of 3548,1712]/[LCM of 336,4064]= 4/85344
Therefore, the GCF of 3548/336,1712/4064 is 4/85344.
To find the highest common factor of 3548,1712, we have to find the factors of both numbers and list the highest common factor.
The factors of 3548 are 1, 2, 4, 887, 1774, 3548
The factors of 1712 are 1, 2, 4, 8, 16, 107, 214, 428, 856, 1712
The HCF of 3548,1712 is 4.
Lets's calculate GCF of 3548,1712
| 2 | 3548, 1712 |
| 2 | 1774, 856 |
| 887, 428 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3548,1712 By Matching Biggest Common Factor Method
Now, list down the factors of 3548
:1,2,4,887,1774,3548
Now, list down the factors of 1712
:1,2,4,8,16,107,214,428,856,1712
Greatest Common Factor
We found the factors 3548,1712 . The biggest common factor number is the GCF number.
So the greatest common factor 3548,1712 is 4.
Lets's calculate LCM of 336,4064
| 2 | 336, 4064 |
| 2 | 168, 2032 |
| 2 | 84, 1016 |
| 2 | 42, 508 |
| 21, 254 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 21 x 254 = 85344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/85344
Therefore, the GCF of Fractions 3548/336,1712/4064 is 4/85344
Least Common Multiple of 336,4064 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 336,4064 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,4064) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(336,4064) x common factors =16 x 1 = 16
LCM(336,4064) = ( 336 × 4064 ) / 16
LCM(336,4064) = 1365504 / 16
LCM(336,4064) = 85344
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FAQs on GCF of Fractions of 3548/336, 1712/4064
1. What is the HCF of 3548,1712?
The HCF of 3548,1712 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 3548/336, 1712/4064?
Answer: GCF of Numerators as per given numbers 3548/336, 1712/4064 is
GCF of Numerators i.e. for 3548,1712 is 4
LCM of denominators i.e. for 336,4064 is 85344.
Thus, GCF of Fractions is 4/85344.Finally, GCF of Fractions for 3548/336, 1712/4064 is 4/85344.