GCF of 4476/203, 8896/8575
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4476/203, 8896/8575 i.e 4/248675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4476/203, 8896/8575.
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 4476/203,8896/8575?
Given fractions are 4476/203,8896/8575
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 4476/203,8896/8575, numerators are 4476,8896
Denominators are 203,8575
The GCF of 4476,8896 is 4 .
LCM of 203,8575 is 248675.
The greatest common factor of 4476/203,8896/8575 = [GCF of 4476,8896]/[LCM of 203,8575]= 4/248675
Therefore, the GCF of 4476/203,8896/8575 is 4/248675.
To find the highest common factor of 4476,8896, we have to find the factors of both numbers and list the highest common factor.
The factors of 4476 are 1, 2, 3, 4, 6, 12, 373, 746, 1119, 1492, 2238, 4476
The factors of 8896 are 1, 2, 4, 8, 16, 32, 64, 139, 278, 556, 1112, 2224, 4448, 8896
The HCF of 4476,8896 is 4.
Lets's calculate GCF of 4476,8896
| 2 | 4476, 8896 |
| 2 | 2238, 4448 |
| 1119, 2224 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4476,8896 By Matching Biggest Common Factor Method
Now, list down the factors of 4476
:1,2,3,4,6,12,373,746,1119,1492,2238,4476
Now, list down the factors of 8896
:1,2,4,8,16,32,64,139,278,556,1112,2224,4448,8896
Greatest Common Factor
We found the factors 4476,8896 . The biggest common factor number is the GCF number.
So the greatest common factor 4476,8896 is 4.
Lets's calculate LCM of 203,8575
| 7 | 203, 8575 |
| 29, 1225 |
∴ So the LCM of the given numbers is 7 x 29 x 1225 = 248675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/248675
Therefore, the GCF of Fractions 4476/203,8896/8575 is 4/248675
Least Common Multiple of 203,8575 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 203,8575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,8575) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(203,8575) x common factors =7 x 1 = 7
LCM(203,8575) = ( 203 × 8575 ) / 7
LCM(203,8575) = 1740725 / 7
LCM(203,8575) = 248675
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FAQs on GCF of Fractions of 4476/203, 8896/8575
1. What is the HCF of 4476,8896?
The HCF of 4476,8896 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 4476/203, 8896/8575?
Answer: GCF of Numerators as per given numbers 4476/203, 8896/8575 is
GCF of Numerators i.e. for 4476,8896 is 4
LCM of denominators i.e. for 203,8575 is 248675.
Thus, GCF of Fractions is 4/248675.Finally, GCF of Fractions for 4476/203, 8896/8575 is 4/248675.