GCF of 9285/469, 7365/360
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9285/469, 7365/360 i.e 15/168840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9285/469, 7365/360.
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 9285/469,7365/360?
Given fractions are 9285/469,7365/360
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 9285/469,7365/360, numerators are 9285,7365
Denominators are 469,360
The GCF of 9285,7365 is 15 .
LCM of 469,360 is 168840.
The greatest common factor of 9285/469,7365/360 = [GCF of 9285,7365]/[LCM of 469,360]= 15/168840
Therefore, the GCF of 9285/469,7365/360 is 15/168840.
To find the highest common factor of 9285,7365, we have to find the factors of both numbers and list the highest common factor.
The factors of 9285 are 1, 3, 5, 15, 619, 1857, 3095, 9285
The factors of 7365 are 1, 3, 5, 15, 491, 1473, 2455, 7365
The HCF of 9285,7365 is 15.
Lets's calculate GCF of 9285,7365
| 3 | 9285, 7365 |
| 5 | 3095, 2455 |
| 619, 491 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 9285,7365 By Matching Biggest Common Factor Method
Now, list down the factors of 9285
:1,3,5,15,619,1857,3095,9285
Now, list down the factors of 7365
:1,3,5,15,491,1473,2455,7365
Greatest Common Factor
We found the factors 9285,7365 . The biggest common factor number is the GCF number.
So the greatest common factor 9285,7365 is 15.
Lets's calculate LCM of 469,360
Given numbers has no common factors except 1. So, there LCM is their product i.e 168840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/168840
Therefore, the GCF of Fractions 9285/469,7365/360 is 15/168840
Least Common Multiple of 469,360 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 469,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,360) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,360) x common factors =1 x 1 = 1
LCM(469,360) = ( 469 × 360 ) / 1
LCM(469,360) = 168840 / 1
LCM(469,360) = 168840
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FAQs on GCF of Fractions of 9285/469, 7365/360
1. What is the HCF of 9285,7365?
The HCF of 9285,7365 is 15
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 9285/469, 7365/360?
Answer: GCF of Numerators as per given numbers 9285/469, 7365/360 is
GCF of Numerators i.e. for 9285,7365 is 15
LCM of denominators i.e. for 469,360 is 168840.
Thus, GCF of Fractions is 15/168840.Finally, GCF of Fractions for 9285/469, 7365/360 is 15/168840.