GCF of 4729/353, 9134/6963
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4729/353, 9134/6963 i.e 1/2457939 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4729/353, 9134/6963.
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 4729/353,9134/6963?
Given fractions are 4729/353,9134/6963
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 4729/353,9134/6963, numerators are 4729,9134
Denominators are 353,6963
The GCF of 4729,9134 is 1 .
LCM of 353,6963 is 2457939.
The greatest common factor of 4729/353,9134/6963 = [GCF of 4729,9134]/[LCM of 353,6963]= 1/2457939
Therefore, the GCF of 4729/353,9134/6963 is 1/2457939.
To find the highest common factor of 4729,9134, we have to find the factors of both numbers and list the highest common factor.
The factors of 4729 are 1, 4729
The factors of 9134 are 1, 2, 4567, 9134
The HCF of 4729,9134 is 1.
Lets's calculate GCF of 4729,9134
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4729,9134 By Matching Biggest Common Factor Method
Now, list down the factors of 4729
:1,4729
Now, list down the factors of 9134
:1,2,4567,9134
Greatest Common Factor
We found the factors 4729,9134 . The biggest common factor number is the GCF number.
So the greatest common factor 4729,9134 is 1.
Lets's calculate LCM of 353,6963
Given numbers has no common factors except 1. So, there LCM is their product i.e 2457939
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2457939
Therefore, the GCF of Fractions 4729/353,9134/6963 is 1/2457939
Least Common Multiple of 353,6963 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 353,6963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,6963) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,6963) x common factors =1 x 1 = 1
LCM(353,6963) = ( 353 × 6963 ) / 1
LCM(353,6963) = 2457939 / 1
LCM(353,6963) = 2457939
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FAQs on GCF of Fractions of 4729/353, 9134/6963
1. What is the HCF of 4729,9134?
The HCF of 4729,9134 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 4729/353, 9134/6963?
Answer: GCF of Numerators as per given numbers 4729/353, 9134/6963 is
GCF of Numerators i.e. for 4729,9134 is 1
LCM of denominators i.e. for 353,6963 is 2457939.
Thus, GCF of Fractions is 1/2457939.Finally, GCF of Fractions for 4729/353, 9134/6963 is 1/2457939.