GCF of 1725/260, 9276/9845
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1725/260, 9276/9845 i.e 3/511940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1725/260, 9276/9845.
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 1725/260,9276/9845?
Given fractions are 1725/260,9276/9845
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 1725/260,9276/9845, numerators are 1725,9276
Denominators are 260,9845
The GCF of 1725,9276 is 3 .
LCM of 260,9845 is 511940.
The greatest common factor of 1725/260,9276/9845 = [GCF of 1725,9276]/[LCM of 260,9845]= 3/511940
Therefore, the GCF of 1725/260,9276/9845 is 3/511940.
To find the highest common factor of 1725,9276, we have to find the factors of both numbers and list the highest common factor.
The factors of 1725 are 1, 3, 5, 15, 23, 25, 69, 75, 115, 345, 575, 1725
The factors of 9276 are 1, 2, 3, 4, 6, 12, 773, 1546, 2319, 3092, 4638, 9276
The HCF of 1725,9276 is 3.
Lets's calculate GCF of 1725,9276
| 3 | 1725, 9276 |
| 575, 3092 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1725,9276 By Matching Biggest Common Factor Method
Now, list down the factors of 1725
:1,3,5,15,23,25,69,75,115,345,575,1725
Now, list down the factors of 9276
:1,2,3,4,6,12,773,1546,2319,3092,4638,9276
Greatest Common Factor
We found the factors 1725,9276 . The biggest common factor number is the GCF number.
So the greatest common factor 1725,9276 is 3.
Lets's calculate LCM of 260,9845
| 5 | 260, 9845 |
| 52, 1969 |
∴ So the LCM of the given numbers is 5 x 52 x 1969 = 511940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/511940
Therefore, the GCF of Fractions 1725/260,9276/9845 is 3/511940
Least Common Multiple of 260,9845 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 260,9845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,9845) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(260,9845) x common factors =5 x 1 = 5
LCM(260,9845) = ( 260 × 9845 ) / 5
LCM(260,9845) = 2559700 / 5
LCM(260,9845) = 511940
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FAQs on GCF of Fractions of 1725/260, 9276/9845
1. What is the HCF of 1725,9276?
The HCF of 1725,9276 is 3
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 1725/260, 9276/9845?
Answer: GCF of Numerators as per given numbers 1725/260, 9276/9845 is
GCF of Numerators i.e. for 1725,9276 is 3
LCM of denominators i.e. for 260,9845 is 511940.
Thus, GCF of Fractions is 3/511940.Finally, GCF of Fractions for 1725/260, 9276/9845 is 3/511940.