GCF of 4897/430, 8864/3328
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4897/430, 8864/3328 i.e 1/715520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4897/430, 8864/3328.
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 4897/430,8864/3328?
Given fractions are 4897/430,8864/3328
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 4897/430,8864/3328, numerators are 4897,8864
Denominators are 430,3328
The GCF of 4897,8864 is 1 .
LCM of 430,3328 is 715520.
The greatest common factor of 4897/430,8864/3328 = [GCF of 4897,8864]/[LCM of 430,3328]= 1/715520
Therefore, the GCF of 4897/430,8864/3328 is 1/715520.
To find the highest common factor of 4897,8864, we have to find the factors of both numbers and list the highest common factor.
The factors of 4897 are 1, 59, 83, 4897
The factors of 8864 are 1, 2, 4, 8, 16, 32, 277, 554, 1108, 2216, 4432, 8864
The HCF of 4897,8864 is 1.
Lets's calculate GCF of 4897,8864
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4897,8864 By Matching Biggest Common Factor Method
Now, list down the factors of 4897
:1,59,83,4897
Now, list down the factors of 8864
:1,2,4,8,16,32,277,554,1108,2216,4432,8864
Greatest Common Factor
We found the factors 4897,8864 . The biggest common factor number is the GCF number.
So the greatest common factor 4897,8864 is 1.
Lets's calculate LCM of 430,3328
| 2 | 430, 3328 |
| 215, 1664 |
∴ So the LCM of the given numbers is 2 x 215 x 1664 = 715520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/715520
Therefore, the GCF of Fractions 4897/430,8864/3328 is 1/715520
Least Common Multiple of 430,3328 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 430,3328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,3328) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(430,3328) x common factors =2 x 1 = 2
LCM(430,3328) = ( 430 × 3328 ) / 2
LCM(430,3328) = 1431040 / 2
LCM(430,3328) = 715520
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FAQs on GCF of Fractions of 4897/430, 8864/3328
1. What is the HCF of 4897,8864?
The HCF of 4897,8864 is 1
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 4897/430, 8864/3328?
Answer: GCF of Numerators as per given numbers 4897/430, 8864/3328 is
GCF of Numerators i.e. for 4897,8864 is 1
LCM of denominators i.e. for 430,3328 is 715520.
Thus, GCF of Fractions is 1/715520.Finally, GCF of Fractions for 4897/430, 8864/3328 is 1/715520.