GCF of 3913/280, 4256/4700
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3913/280, 4256/4700 i.e 7/65800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3913/280, 4256/4700.
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 3913/280,4256/4700?
Given fractions are 3913/280,4256/4700
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 3913/280,4256/4700, numerators are 3913,4256
Denominators are 280,4700
The GCF of 3913,4256 is 7 .
LCM of 280,4700 is 65800.
The greatest common factor of 3913/280,4256/4700 = [GCF of 3913,4256]/[LCM of 280,4700]= 7/65800
Therefore, the GCF of 3913/280,4256/4700 is 7/65800.
To find the highest common factor of 3913,4256, we have to find the factors of both numbers and list the highest common factor.
The factors of 3913 are 1, 7, 13, 43, 91, 301, 559, 3913
The factors of 4256 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 532, 608, 1064, 2128, 4256
The HCF of 3913,4256 is 7.
Lets's calculate GCF of 3913,4256
| 7 | 3913, 4256 |
| 559, 608 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3913,4256 By Matching Biggest Common Factor Method
Now, list down the factors of 3913
:1,7,13,43,91,301,559,3913
Now, list down the factors of 4256
:1,2,4,7,8,14,16,19,28,32,38,56,76,112,133,152,224,266,304,532,608,1064,2128,4256
Greatest Common Factor
We found the factors 3913,4256 . The biggest common factor number is the GCF number.
So the greatest common factor 3913,4256 is 7.
Lets's calculate LCM of 280,4700
| 2 | 280, 4700 |
| 2 | 140, 2350 |
| 5 | 70, 1175 |
| 14, 235 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 14 x 235 = 65800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/65800
Therefore, the GCF of Fractions 3913/280,4256/4700 is 7/65800
Least Common Multiple of 280,4700 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 280,4700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(280,4700) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(280,4700) x common factors =20 x 1 = 20
LCM(280,4700) = ( 280 × 4700 ) / 20
LCM(280,4700) = 1316000 / 20
LCM(280,4700) = 65800
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FAQs on GCF of Fractions of 3913/280, 4256/4700
1. What is the HCF of 3913,4256?
The HCF of 3913,4256 is 7
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 3913/280, 4256/4700?
Answer: GCF of Numerators as per given numbers 3913/280, 4256/4700 is
GCF of Numerators i.e. for 3913,4256 is 7
LCM of denominators i.e. for 280,4700 is 65800.
Thus, GCF of Fractions is 7/65800.Finally, GCF of Fractions for 3913/280, 4256/4700 is 7/65800.