GCF of 9265/346, 5409/764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9265/346, 5409/764 i.e 1/132172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9265/346, 5409/764.
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 9265/346,5409/764?
Given fractions are 9265/346,5409/764
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 9265/346,5409/764, numerators are 9265,5409
Denominators are 346,764
The GCF of 9265,5409 is 1 .
LCM of 346,764 is 132172.
The greatest common factor of 9265/346,5409/764 = [GCF of 9265,5409]/[LCM of 346,764]= 1/132172
Therefore, the GCF of 9265/346,5409/764 is 1/132172.
To find the highest common factor of 9265,5409, we have to find the factors of both numbers and list the highest common factor.
The factors of 9265 are 1, 5, 17, 85, 109, 545, 1853, 9265
The factors of 5409 are 1, 3, 9, 601, 1803, 5409
The HCF of 9265,5409 is 1.
Lets's calculate GCF of 9265,5409
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9265,5409 By Matching Biggest Common Factor Method
Now, list down the factors of 9265
:1,5,17,85,109,545,1853,9265
Now, list down the factors of 5409
:1,3,9,601,1803,5409
Greatest Common Factor
We found the factors 9265,5409 . The biggest common factor number is the GCF number.
So the greatest common factor 9265,5409 is 1.
Lets's calculate LCM of 346,764
| 2 | 346, 764 |
| 173, 382 |
∴ So the LCM of the given numbers is 2 x 173 x 382 = 132172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132172
Therefore, the GCF of Fractions 9265/346,5409/764 is 1/132172
Least Common Multiple of 346,764 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 346,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,764) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(346,764) x common factors =2 x 1 = 2
LCM(346,764) = ( 346 × 764 ) / 2
LCM(346,764) = 264344 / 2
LCM(346,764) = 132172
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FAQs on GCF of Fractions of 9265/346, 5409/764
1. What is the HCF of 9265,5409?
The HCF of 9265,5409 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 9265/346, 5409/764?
Answer: GCF of Numerators as per given numbers 9265/346, 5409/764 is
GCF of Numerators i.e. for 9265,5409 is 1
LCM of denominators i.e. for 346,764 is 132172.
Thus, GCF of Fractions is 1/132172.Finally, GCF of Fractions for 9265/346, 5409/764 is 1/132172.