GCF of 5306/472, 9249/349
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5306/472, 9249/349 i.e 1/164728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5306/472, 9249/349.
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 5306/472,9249/349?
Given fractions are 5306/472,9249/349
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 5306/472,9249/349, numerators are 5306,9249
Denominators are 472,349
The GCF of 5306,9249 is 1 .
LCM of 472,349 is 164728.
The greatest common factor of 5306/472,9249/349 = [GCF of 5306,9249]/[LCM of 472,349]= 1/164728
Therefore, the GCF of 5306/472,9249/349 is 1/164728.
To find the highest common factor of 5306,9249, we have to find the factors of both numbers and list the highest common factor.
The factors of 5306 are 1, 2, 7, 14, 379, 758, 2653, 5306
The factors of 9249 are 1, 3, 3083, 9249
The HCF of 5306,9249 is 1.
Lets's calculate GCF of 5306,9249
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5306,9249 By Matching Biggest Common Factor Method
Now, list down the factors of 5306
:1,2,7,14,379,758,2653,5306
Now, list down the factors of 9249
:1,3,3083,9249
Greatest Common Factor
We found the factors 5306,9249 . The biggest common factor number is the GCF number.
So the greatest common factor 5306,9249 is 1.
Lets's calculate LCM of 472,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 164728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164728
Therefore, the GCF of Fractions 5306/472,9249/349 is 1/164728
Least Common Multiple of 472,349 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 472,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(472,349) x common factors =1 x 1 = 1
LCM(472,349) = ( 472 × 349 ) / 1
LCM(472,349) = 164728 / 1
LCM(472,349) = 164728
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5306/472, 9249/349
1. What is the HCF of 5306,9249?
The HCF of 5306,9249 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 5306/472, 9249/349?
Answer: GCF of Numerators as per given numbers 5306/472, 9249/349 is
GCF of Numerators i.e. for 5306,9249 is 1
LCM of denominators i.e. for 472,349 is 164728.
Thus, GCF of Fractions is 1/164728.Finally, GCF of Fractions for 5306/472, 9249/349 is 1/164728.