GCF of 448/884, 8968/8518
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 448/884, 8968/8518 i.e 8/3764956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 448/884, 8968/8518.
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 448/884,8968/8518?
Given fractions are 448/884,8968/8518
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 448/884,8968/8518, numerators are 448,8968
Denominators are 884,8518
The GCF of 448,8968 is 8 .
LCM of 884,8518 is 3764956.
The greatest common factor of 448/884,8968/8518 = [GCF of 448,8968]/[LCM of 884,8518]= 8/3764956
Therefore, the GCF of 448/884,8968/8518 is 8/3764956.
To find the highest common factor of 448,8968, we have to find the factors of both numbers and list the highest common factor.
The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
The factors of 8968 are 1, 2, 4, 8, 19, 38, 59, 76, 118, 152, 236, 472, 1121, 2242, 4484, 8968
The HCF of 448,8968 is 8.
Lets's calculate GCF of 448,8968
| 2 | 448, 8968 |
| 2 | 224, 4484 |
| 2 | 112, 2242 |
| 56, 1121 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 448,8968 By Matching Biggest Common Factor Method
Now, list down the factors of 448
:1,2,4,7,8,14,16,28,32,56,64,112,224,448
Now, list down the factors of 8968
:1,2,4,8,19,38,59,76,118,152,236,472,1121,2242,4484,8968
Greatest Common Factor
We found the factors 448,8968 . The biggest common factor number is the GCF number.
So the greatest common factor 448,8968 is 8.
Lets's calculate LCM of 884,8518
| 2 | 884, 8518 |
| 442, 4259 |
∴ So the LCM of the given numbers is 2 x 442 x 4259 = 3764956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3764956
Therefore, the GCF of Fractions 448/884,8968/8518 is 8/3764956
Least Common Multiple of 884,8518 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 884,8518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,8518) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(884,8518) x common factors =2 x 1 = 2
LCM(884,8518) = ( 884 × 8518 ) / 2
LCM(884,8518) = 7529912 / 2
LCM(884,8518) = 3764956
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FAQs on GCF of Fractions of 448/884, 8968/8518
1. What is the HCF of 448,8968?
The HCF of 448,8968 is 8
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 448/884, 8968/8518?
Answer: GCF of Numerators as per given numbers 448/884, 8968/8518 is
GCF of Numerators i.e. for 448,8968 is 8
LCM of denominators i.e. for 884,8518 is 3764956.
Thus, GCF of Fractions is 8/3764956.Finally, GCF of Fractions for 448/884, 8968/8518 is 8/3764956.