GCF of 9238/263, 8271/8879
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9238/263, 8271/8879 i.e 1/2335177 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9238/263, 8271/8879.
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 9238/263,8271/8879?
Given fractions are 9238/263,8271/8879
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 9238/263,8271/8879, numerators are 9238,8271
Denominators are 263,8879
The GCF of 9238,8271 is 1 .
LCM of 263,8879 is 2335177.
The greatest common factor of 9238/263,8271/8879 = [GCF of 9238,8271]/[LCM of 263,8879]= 1/2335177
Therefore, the GCF of 9238/263,8271/8879 is 1/2335177.
To find the highest common factor of 9238,8271, we have to find the factors of both numbers and list the highest common factor.
The factors of 9238 are 1, 2, 31, 62, 149, 298, 4619, 9238
The factors of 8271 are 1, 3, 9, 919, 2757, 8271
The HCF of 9238,8271 is 1.
Lets's calculate GCF of 9238,8271
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9238,8271 By Matching Biggest Common Factor Method
Now, list down the factors of 9238
:1,2,31,62,149,298,4619,9238
Now, list down the factors of 8271
:1,3,9,919,2757,8271
Greatest Common Factor
We found the factors 9238,8271 . The biggest common factor number is the GCF number.
So the greatest common factor 9238,8271 is 1.
Lets's calculate LCM of 263,8879
Given numbers has no common factors except 1. So, there LCM is their product i.e 2335177
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2335177
Therefore, the GCF of Fractions 9238/263,8271/8879 is 1/2335177
Least Common Multiple of 263,8879 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 263,8879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(263,8879) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(263,8879) x common factors =1 x 1 = 1
LCM(263,8879) = ( 263 × 8879 ) / 1
LCM(263,8879) = 2335177 / 1
LCM(263,8879) = 2335177
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FAQs on GCF of Fractions of 9238/263, 8271/8879
1. What is the HCF of 9238,8271?
The HCF of 9238,8271 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 9238/263, 8271/8879?
Answer: GCF of Numerators as per given numbers 9238/263, 8271/8879 is
GCF of Numerators i.e. for 9238,8271 is 1
LCM of denominators i.e. for 263,8879 is 2335177.
Thus, GCF of Fractions is 1/2335177.Finally, GCF of Fractions for 9238/263, 8271/8879 is 1/2335177.