GCF of 9804/959, 5054/3483
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9804/959, 5054/3483 i.e 38/3340197 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9804/959, 5054/3483.
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 9804/959,5054/3483?
Given fractions are 9804/959,5054/3483
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 9804/959,5054/3483, numerators are 9804,5054
Denominators are 959,3483
The GCF of 9804,5054 is 38 .
LCM of 959,3483 is 3340197.
The greatest common factor of 9804/959,5054/3483 = [GCF of 9804,5054]/[LCM of 959,3483]= 38/3340197
Therefore, the GCF of 9804/959,5054/3483 is 38/3340197.
To find the highest common factor of 9804,5054, we have to find the factors of both numbers and list the highest common factor.
The factors of 9804 are 1, 2, 3, 4, 6, 12, 19, 38, 43, 57, 76, 86, 114, 129, 172, 228, 258, 516, 817, 1634, 2451, 3268, 4902, 9804
The factors of 5054 are 1, 2, 7, 14, 19, 38, 133, 266, 361, 722, 2527, 5054
The HCF of 9804,5054 is 38.
Lets's calculate GCF of 9804,5054
| 2 | 9804, 5054 |
| 19 | 4902, 2527 |
| 258, 133 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 9804,5054 By Matching Biggest Common Factor Method
Now, list down the factors of 9804
:1,2,3,4,6,12,19,38,43,57,76,86,114,129,172,228,258,516,817,1634,2451,3268,4902,9804
Now, list down the factors of 5054
:1,2,7,14,19,38,133,266,361,722,2527,5054
Greatest Common Factor
We found the factors 9804,5054 . The biggest common factor number is the GCF number.
So the greatest common factor 9804,5054 is 38.
Lets's calculate LCM of 959,3483
Given numbers has no common factors except 1. So, there LCM is their product i.e 3340197
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/3340197
Therefore, the GCF of Fractions 9804/959,5054/3483 is 38/3340197
Least Common Multiple of 959,3483 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 959,3483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(959,3483) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(959,3483) x common factors =1 x 1 = 1
LCM(959,3483) = ( 959 × 3483 ) / 1
LCM(959,3483) = 3340197 / 1
LCM(959,3483) = 3340197
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FAQs on GCF of Fractions of 9804/959, 5054/3483
1. What is the HCF of 9804,5054?
The HCF of 9804,5054 is 38
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 9804/959, 5054/3483?
Answer: GCF of Numerators as per given numbers 9804/959, 5054/3483 is
GCF of Numerators i.e. for 9804,5054 is 38
LCM of denominators i.e. for 959,3483 is 3340197.
Thus, GCF of Fractions is 38/3340197.Finally, GCF of Fractions for 9804/959, 5054/3483 is 38/3340197.