GCF of 9465/253, 1326/5084
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9465/253, 1326/5084 i.e 3/1286252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9465/253, 1326/5084.
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 9465/253,1326/5084?
Given fractions are 9465/253,1326/5084
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 9465/253,1326/5084, numerators are 9465,1326
Denominators are 253,5084
The GCF of 9465,1326 is 3 .
LCM of 253,5084 is 1286252.
The greatest common factor of 9465/253,1326/5084 = [GCF of 9465,1326]/[LCM of 253,5084]= 3/1286252
Therefore, the GCF of 9465/253,1326/5084 is 3/1286252.
To find the highest common factor of 9465,1326, we have to find the factors of both numbers and list the highest common factor.
The factors of 9465 are 1, 3, 5, 15, 631, 1893, 3155, 9465
The factors of 1326 are 1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 78, 102, 221, 442, 663, 1326
The HCF of 9465,1326 is 3.
Lets's calculate GCF of 9465,1326
| 3 | 9465, 1326 |
| 3155, 442 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9465,1326 By Matching Biggest Common Factor Method
Now, list down the factors of 9465
:1,3,5,15,631,1893,3155,9465
Now, list down the factors of 1326
:1,2,3,6,13,17,26,34,39,51,78,102,221,442,663,1326
Greatest Common Factor
We found the factors 9465,1326 . The biggest common factor number is the GCF number.
So the greatest common factor 9465,1326 is 3.
Lets's calculate LCM of 253,5084
Given numbers has no common factors except 1. So, there LCM is their product i.e 1286252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1286252
Therefore, the GCF of Fractions 9465/253,1326/5084 is 3/1286252
Least Common Multiple of 253,5084 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 253,5084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,5084) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(253,5084) x common factors =1 x 1 = 1
LCM(253,5084) = ( 253 × 5084 ) / 1
LCM(253,5084) = 1286252 / 1
LCM(253,5084) = 1286252
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FAQs on GCF of Fractions of 9465/253, 1326/5084
1. What is the HCF of 9465,1326?
The HCF of 9465,1326 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 9465/253, 1326/5084?
Answer: GCF of Numerators as per given numbers 9465/253, 1326/5084 is
GCF of Numerators i.e. for 9465,1326 is 3
LCM of denominators i.e. for 253,5084 is 1286252.
Thus, GCF of Fractions is 3/1286252.Finally, GCF of Fractions for 9465/253, 1326/5084 is 3/1286252.