GCF of 9525/365, 2310/219
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9525/365, 2310/219 i.e 15/1095 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9525/365, 2310/219.
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 9525/365,2310/219?
Given fractions are 9525/365,2310/219
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 9525/365,2310/219, numerators are 9525,2310
Denominators are 365,219
The GCF of 9525,2310 is 15 .
LCM of 365,219 is 1095.
The greatest common factor of 9525/365,2310/219 = [GCF of 9525,2310]/[LCM of 365,219]= 15/1095
Therefore, the GCF of 9525/365,2310/219 is 15/1095.
To find the highest common factor of 9525,2310, we have to find the factors of both numbers and list the highest common factor.
The factors of 9525 are 1, 3, 5, 15, 25, 75, 127, 381, 635, 1905, 3175, 9525
The factors of 2310 are 1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310
The HCF of 9525,2310 is 15.
Lets's calculate GCF of 9525,2310
| 3 | 9525, 2310 |
| 5 | 3175, 770 |
| 635, 154 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 9525,2310 By Matching Biggest Common Factor Method
Now, list down the factors of 9525
:1,3,5,15,25,75,127,381,635,1905,3175,9525
Now, list down the factors of 2310
:1,2,3,5,6,7,10,11,14,15,21,22,30,33,35,42,55,66,70,77,105,110,154,165,210,231,330,385,462,770,1155,2310
Greatest Common Factor
We found the factors 9525,2310 . The biggest common factor number is the GCF number.
So the greatest common factor 9525,2310 is 15.
Lets's calculate LCM of 365,219
| 73 | 365, 219 |
| 5, 3 |
∴ So the LCM of the given numbers is 73 x 5 x 3 = 1095
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1095
Therefore, the GCF of Fractions 9525/365,2310/219 is 15/1095
Least Common Multiple of 365,219 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 365,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,219) = 73
common factors(in case of two or more numbers have common factors) = 1
GCF(365,219) x common factors =73 x 1 = 73
LCM(365,219) = ( 365 × 219 ) / 73
LCM(365,219) = 79935 / 73
LCM(365,219) = 1095
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FAQs on GCF of Fractions of 9525/365, 2310/219
1. What is the HCF of 9525,2310?
The HCF of 9525,2310 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 9525/365, 2310/219?
Answer: GCF of Numerators as per given numbers 9525/365, 2310/219 is
GCF of Numerators i.e. for 9525,2310 is 15
LCM of denominators i.e. for 365,219 is 1095.
Thus, GCF of Fractions is 15/1095.Finally, GCF of Fractions for 9525/365, 2310/219 is 15/1095.