GCF of 4336/203, 9759/307
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4336/203, 9759/307 i.e 1/62321 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4336/203, 9759/307.
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 4336/203,9759/307?
Given fractions are 4336/203,9759/307
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 4336/203,9759/307, numerators are 4336,9759
Denominators are 203,307
The GCF of 4336,9759 is 1 .
LCM of 203,307 is 62321.
The greatest common factor of 4336/203,9759/307 = [GCF of 4336,9759]/[LCM of 203,307]= 1/62321
Therefore, the GCF of 4336/203,9759/307 is 1/62321.
To find the highest common factor of 4336,9759, we have to find the factors of both numbers and list the highest common factor.
The factors of 4336 are 1, 2, 4, 8, 16, 271, 542, 1084, 2168, 4336
The factors of 9759 are 1, 3, 3253, 9759
The HCF of 4336,9759 is 1.
Lets's calculate GCF of 4336,9759
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4336,9759 By Matching Biggest Common Factor Method
Now, list down the factors of 4336
:1,2,4,8,16,271,542,1084,2168,4336
Now, list down the factors of 9759
:1,3,3253,9759
Greatest Common Factor
We found the factors 4336,9759 . The biggest common factor number is the GCF number.
So the greatest common factor 4336,9759 is 1.
Lets's calculate LCM of 203,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 62321
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62321
Therefore, the GCF of Fractions 4336/203,9759/307 is 1/62321
Least Common Multiple of 203,307 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 203,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,307) x common factors =1 x 1 = 1
LCM(203,307) = ( 203 × 307 ) / 1
LCM(203,307) = 62321 / 1
LCM(203,307) = 62321
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FAQs on GCF of Fractions of 4336/203, 9759/307
1. What is the HCF of 4336,9759?
The HCF of 4336,9759 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 4336/203, 9759/307?
Answer: GCF of Numerators as per given numbers 4336/203, 9759/307 is
GCF of Numerators i.e. for 4336,9759 is 1
LCM of denominators i.e. for 203,307 is 62321.
Thus, GCF of Fractions is 1/62321.Finally, GCF of Fractions for 4336/203, 9759/307 is 1/62321.