GCF of 5453/309, 4928/963
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5453/309, 4928/963 i.e 7/99189 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5453/309, 4928/963.
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 5453/309,4928/963?
Given fractions are 5453/309,4928/963
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 5453/309,4928/963, numerators are 5453,4928
Denominators are 309,963
The GCF of 5453,4928 is 7 .
LCM of 309,963 is 99189.
The greatest common factor of 5453/309,4928/963 = [GCF of 5453,4928]/[LCM of 309,963]= 7/99189
Therefore, the GCF of 5453/309,4928/963 is 7/99189.
To find the highest common factor of 5453,4928, we have to find the factors of both numbers and list the highest common factor.
The factors of 5453 are 1, 7, 19, 41, 133, 287, 779, 5453
The factors of 4928 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464, 4928
The HCF of 5453,4928 is 7.
Lets's calculate GCF of 5453,4928
| 7 | 5453, 4928 |
| 779, 704 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5453,4928 By Matching Biggest Common Factor Method
Now, list down the factors of 5453
:1,7,19,41,133,287,779,5453
Now, list down the factors of 4928
:1,2,4,7,8,11,14,16,22,28,32,44,56,64,77,88,112,154,176,224,308,352,448,616,704,1232,2464,4928
Greatest Common Factor
We found the factors 5453,4928 . The biggest common factor number is the GCF number.
So the greatest common factor 5453,4928 is 7.
Lets's calculate LCM of 309,963
| 3 | 309, 963 |
| 103, 321 |
∴ So the LCM of the given numbers is 3 x 103 x 321 = 99189
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/99189
Therefore, the GCF of Fractions 5453/309,4928/963 is 7/99189
Least Common Multiple of 309,963 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 309,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,963) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(309,963) x common factors =3 x 1 = 3
LCM(309,963) = ( 309 × 963 ) / 3
LCM(309,963) = 297567 / 3
LCM(309,963) = 99189
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FAQs on GCF of Fractions of 5453/309, 4928/963
1. What is the HCF of 5453,4928?
The HCF of 5453,4928 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 5453/309, 4928/963?
Answer: GCF of Numerators as per given numbers 5453/309, 4928/963 is
GCF of Numerators i.e. for 5453,4928 is 7
LCM of denominators i.e. for 309,963 is 99189.
Thus, GCF of Fractions is 7/99189.Finally, GCF of Fractions for 5453/309, 4928/963 is 7/99189.