GCF of 9867/657, 5746/445
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9867/657, 5746/445 i.e 13/292365 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9867/657, 5746/445.
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 9867/657,5746/445?
Given fractions are 9867/657,5746/445
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 9867/657,5746/445, numerators are 9867,5746
Denominators are 657,445
The GCF of 9867,5746 is 13 .
LCM of 657,445 is 292365.
The greatest common factor of 9867/657,5746/445 = [GCF of 9867,5746]/[LCM of 657,445]= 13/292365
Therefore, the GCF of 9867/657,5746/445 is 13/292365.
To find the highest common factor of 9867,5746, we have to find the factors of both numbers and list the highest common factor.
The factors of 9867 are 1, 3, 11, 13, 23, 33, 39, 69, 143, 253, 299, 429, 759, 897, 3289, 9867
The factors of 5746 are 1, 2, 13, 17, 26, 34, 169, 221, 338, 442, 2873, 5746
The HCF of 9867,5746 is 13.
Lets's calculate GCF of 9867,5746
| 13 | 9867, 5746 |
| 759, 442 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 9867,5746 By Matching Biggest Common Factor Method
Now, list down the factors of 9867
:1,3,11,13,23,33,39,69,143,253,299,429,759,897,3289,9867
Now, list down the factors of 5746
:1,2,13,17,26,34,169,221,338,442,2873,5746
Greatest Common Factor
We found the factors 9867,5746 . The biggest common factor number is the GCF number.
So the greatest common factor 9867,5746 is 13.
Lets's calculate LCM of 657,445
Given numbers has no common factors except 1. So, there LCM is their product i.e 292365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/292365
Therefore, the GCF of Fractions 9867/657,5746/445 is 13/292365
Least Common Multiple of 657,445 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 657,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,445) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(657,445) x common factors =1 x 1 = 1
LCM(657,445) = ( 657 × 445 ) / 1
LCM(657,445) = 292365 / 1
LCM(657,445) = 292365
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FAQs on GCF of Fractions of 9867/657, 5746/445
1. What is the HCF of 9867,5746?
The HCF of 9867,5746 is 13
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 9867/657, 5746/445?
Answer: GCF of Numerators as per given numbers 9867/657, 5746/445 is
GCF of Numerators i.e. for 9867,5746 is 13
LCM of denominators i.e. for 657,445 is 292365.
Thus, GCF of Fractions is 13/292365.Finally, GCF of Fractions for 9867/657, 5746/445 is 13/292365.