GCF of 1463/354, 8569/908
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1463/354, 8569/908 i.e 209/160716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1463/354, 8569/908.
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 1463/354,8569/908?
Given fractions are 1463/354,8569/908
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 1463/354,8569/908, numerators are 1463,8569
Denominators are 354,908
The GCF of 1463,8569 is 209 .
LCM of 354,908 is 160716.
The greatest common factor of 1463/354,8569/908 = [GCF of 1463,8569]/[LCM of 354,908]= 209/160716
Therefore, the GCF of 1463/354,8569/908 is 209/160716.
To find the highest common factor of 1463,8569, we have to find the factors of both numbers and list the highest common factor.
The factors of 1463 are 1, 7, 11, 19, 77, 133, 209, 1463
The factors of 8569 are 1, 11, 19, 41, 209, 451, 779, 8569
The HCF of 1463,8569 is 209.
Lets's calculate GCF of 1463,8569
| 11 | 1463, 8569 |
| 19 | 133, 779 |
| 7, 41 |
∴ So the GCF of the given numbers is 11 x 19 = 209
Greatest Common Factor of 1463,8569 By Matching Biggest Common Factor Method
Now, list down the factors of 1463
:1,7,11,19,77,133,209,1463
Now, list down the factors of 8569
:1,11,19,41,209,451,779,8569
Greatest Common Factor
We found the factors 1463,8569 . The biggest common factor number is the GCF number.
So the greatest common factor 1463,8569 is 209.
Lets's calculate LCM of 354,908
| 2 | 354, 908 |
| 177, 454 |
∴ So the LCM of the given numbers is 2 x 177 x 454 = 160716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 209/160716
Therefore, the GCF of Fractions 1463/354,8569/908 is 209/160716
Least Common Multiple of 354,908 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 354,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,908) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(354,908) x common factors =2 x 1 = 2
LCM(354,908) = ( 354 × 908 ) / 2
LCM(354,908) = 321432 / 2
LCM(354,908) = 160716
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FAQs on GCF of Fractions of 1463/354, 8569/908
1. What is the HCF of 1463,8569?
The HCF of 1463,8569 is 209
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 1463/354, 8569/908?
Answer: GCF of Numerators as per given numbers 1463/354, 8569/908 is
GCF of Numerators i.e. for 1463,8569 is 209
LCM of denominators i.e. for 354,908 is 160716.
Thus, GCF of Fractions is 209/160716.Finally, GCF of Fractions for 1463/354, 8569/908 is 209/160716.