GCF of 9564/806, 7225/1860
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9564/806, 7225/1860 i.e 1/24180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9564/806, 7225/1860.
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 9564/806,7225/1860?
Given fractions are 9564/806,7225/1860
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 9564/806,7225/1860, numerators are 9564,7225
Denominators are 806,1860
The GCF of 9564,7225 is 1 .
LCM of 806,1860 is 24180.
The greatest common factor of 9564/806,7225/1860 = [GCF of 9564,7225]/[LCM of 806,1860]= 1/24180
Therefore, the GCF of 9564/806,7225/1860 is 1/24180.
To find the highest common factor of 9564,7225, we have to find the factors of both numbers and list the highest common factor.
The factors of 9564 are 1, 2, 3, 4, 6, 12, 797, 1594, 2391, 3188, 4782, 9564
The factors of 7225 are 1, 5, 17, 25, 85, 289, 425, 1445, 7225
The HCF of 9564,7225 is 1.
Lets's calculate GCF of 9564,7225
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9564,7225 By Matching Biggest Common Factor Method
Now, list down the factors of 9564
:1,2,3,4,6,12,797,1594,2391,3188,4782,9564
Now, list down the factors of 7225
:1,5,17,25,85,289,425,1445,7225
Greatest Common Factor
We found the factors 9564,7225 . The biggest common factor number is the GCF number.
So the greatest common factor 9564,7225 is 1.
Lets's calculate LCM of 806,1860
| 2 | 806, 1860 |
| 31 | 403, 930 |
| 13, 30 |
∴ So the LCM of the given numbers is 2 x 31 x 13 x 30 = 24180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24180
Therefore, the GCF of Fractions 9564/806,7225/1860 is 1/24180
Least Common Multiple of 806,1860 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 806,1860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,1860) = 62
common factors(in case of two or more numbers have common factors) = 1
GCF(806,1860) x common factors =62 x 1 = 62
LCM(806,1860) = ( 806 × 1860 ) / 62
LCM(806,1860) = 1499160 / 62
LCM(806,1860) = 24180
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FAQs on GCF of Fractions of 9564/806, 7225/1860
1. What is the HCF of 9564,7225?
The HCF of 9564,7225 is 1
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 9564/806, 7225/1860?
Answer: GCF of Numerators as per given numbers 9564/806, 7225/1860 is
GCF of Numerators i.e. for 9564,7225 is 1
LCM of denominators i.e. for 806,1860 is 24180.
Thus, GCF of Fractions is 1/24180.Finally, GCF of Fractions for 9564/806, 7225/1860 is 1/24180.