GCF of 9271/365, 5311/6800
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9271/365, 5311/6800 i.e 1/496400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9271/365, 5311/6800.
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 9271/365,5311/6800?
Given fractions are 9271/365,5311/6800
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 9271/365,5311/6800, numerators are 9271,5311
Denominators are 365,6800
The GCF of 9271,5311 is 1 .
LCM of 365,6800 is 496400.
The greatest common factor of 9271/365,5311/6800 = [GCF of 9271,5311]/[LCM of 365,6800]= 1/496400
Therefore, the GCF of 9271/365,5311/6800 is 1/496400.
To find the highest common factor of 9271,5311, we have to find the factors of both numbers and list the highest common factor.
The factors of 9271 are 1, 73, 127, 9271
The factors of 5311 are 1, 47, 113, 5311
The HCF of 9271,5311 is 1.
Lets's calculate GCF of 9271,5311
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9271,5311 By Matching Biggest Common Factor Method
Now, list down the factors of 9271
:1,73,127,9271
Now, list down the factors of 5311
:1,47,113,5311
Greatest Common Factor
We found the factors 9271,5311 . The biggest common factor number is the GCF number.
So the greatest common factor 9271,5311 is 1.
Lets's calculate LCM of 365,6800
| 5 | 365, 6800 |
| 73, 1360 |
∴ So the LCM of the given numbers is 5 x 73 x 1360 = 496400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/496400
Therefore, the GCF of Fractions 9271/365,5311/6800 is 1/496400
Least Common Multiple of 365,6800 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 365,6800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,6800) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(365,6800) x common factors =5 x 1 = 5
LCM(365,6800) = ( 365 × 6800 ) / 5
LCM(365,6800) = 2482000 / 5
LCM(365,6800) = 496400
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FAQs on GCF of Fractions of 9271/365, 5311/6800
1. What is the HCF of 9271,5311?
The HCF of 9271,5311 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 9271/365, 5311/6800?
Answer: GCF of Numerators as per given numbers 9271/365, 5311/6800 is
GCF of Numerators i.e. for 9271,5311 is 1
LCM of denominators i.e. for 365,6800 is 496400.
Thus, GCF of Fractions is 1/496400.Finally, GCF of Fractions for 9271/365, 5311/6800 is 1/496400.