GCF of 5453/83, 8721/304
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5453/83, 8721/304 i.e 19/25232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5453/83, 8721/304.
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 5453/83,8721/304?
Given fractions are 5453/83,8721/304
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 5453/83,8721/304, numerators are 5453,8721
Denominators are 83,304
The GCF of 5453,8721 is 19 .
LCM of 83,304 is 25232.
The greatest common factor of 5453/83,8721/304 = [GCF of 5453,8721]/[LCM of 83,304]= 19/25232
Therefore, the GCF of 5453/83,8721/304 is 19/25232.
To find the highest common factor of 5453,8721, 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 8721 are 1, 3, 9, 17, 19, 27, 51, 57, 153, 171, 323, 459, 513, 969, 2907, 8721
The HCF of 5453,8721 is 19.
Lets's calculate GCF of 5453,8721
| 19 | 5453, 8721 |
| 287, 459 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 5453,8721 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 8721
:1,3,9,17,19,27,51,57,153,171,323,459,513,969,2907,8721
Greatest Common Factor
We found the factors 5453,8721 . The biggest common factor number is the GCF number.
So the greatest common factor 5453,8721 is 19.
Lets's calculate LCM of 83,304
Given numbers has no common factors except 1. So, there LCM is their product i.e 25232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/25232
Therefore, the GCF of Fractions 5453/83,8721/304 is 19/25232
Least Common Multiple of 83,304 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 83,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,304) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,304) x common factors =1 x 1 = 1
LCM(83,304) = ( 83 × 304 ) / 1
LCM(83,304) = 25232 / 1
LCM(83,304) = 25232
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FAQs on GCF of Fractions of 5453/83, 8721/304
1. What is the HCF of 5453,8721?
The HCF of 5453,8721 is 19
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 5453/83, 8721/304?
Answer: GCF of Numerators as per given numbers 5453/83, 8721/304 is
GCF of Numerators i.e. for 5453,8721 is 19
LCM of denominators i.e. for 83,304 is 25232.
Thus, GCF of Fractions is 19/25232.Finally, GCF of Fractions for 5453/83, 8721/304 is 19/25232.