GCF of 4265/958, 9361/4714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4265/958, 9361/4714 i.e 1/2258006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4265/958, 9361/4714.
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 4265/958,9361/4714?
Given fractions are 4265/958,9361/4714
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 4265/958,9361/4714, numerators are 4265,9361
Denominators are 958,4714
The GCF of 4265,9361 is 1 .
LCM of 958,4714 is 2258006.
The greatest common factor of 4265/958,9361/4714 = [GCF of 4265,9361]/[LCM of 958,4714]= 1/2258006
Therefore, the GCF of 4265/958,9361/4714 is 1/2258006.
To find the highest common factor of 4265,9361, we have to find the factors of both numbers and list the highest common factor.
The factors of 4265 are 1, 5, 853, 4265
The factors of 9361 are 1, 11, 23, 37, 253, 407, 851, 9361
The HCF of 4265,9361 is 1.
Lets's calculate GCF of 4265,9361
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4265,9361 By Matching Biggest Common Factor Method
Now, list down the factors of 4265
:1,5,853,4265
Now, list down the factors of 9361
:1,11,23,37,253,407,851,9361
Greatest Common Factor
We found the factors 4265,9361 . The biggest common factor number is the GCF number.
So the greatest common factor 4265,9361 is 1.
Lets's calculate LCM of 958,4714
| 2 | 958, 4714 |
| 479, 2357 |
∴ So the LCM of the given numbers is 2 x 479 x 2357 = 2258006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2258006
Therefore, the GCF of Fractions 4265/958,9361/4714 is 1/2258006
Least Common Multiple of 958,4714 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 958,4714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(958,4714) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(958,4714) x common factors =2 x 1 = 2
LCM(958,4714) = ( 958 × 4714 ) / 2
LCM(958,4714) = 4516012 / 2
LCM(958,4714) = 2258006
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FAQs on GCF of Fractions of 4265/958, 9361/4714
1. What is the HCF of 4265,9361?
The HCF of 4265,9361 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 4265/958, 9361/4714?
Answer: GCF of Numerators as per given numbers 4265/958, 9361/4714 is
GCF of Numerators i.e. for 4265,9361 is 1
LCM of denominators i.e. for 958,4714 is 2258006.
Thus, GCF of Fractions is 1/2258006.Finally, GCF of Fractions for 4265/958, 9361/4714 is 1/2258006.