GCF of 9471/867, 9257/2492
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9471/867, 9257/2492 i.e 1/2160564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9471/867, 9257/2492.
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 9471/867,9257/2492?
Given fractions are 9471/867,9257/2492
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 9471/867,9257/2492, numerators are 9471,9257
Denominators are 867,2492
The GCF of 9471,9257 is 1 .
LCM of 867,2492 is 2160564.
The greatest common factor of 9471/867,9257/2492 = [GCF of 9471,9257]/[LCM of 867,2492]= 1/2160564
Therefore, the GCF of 9471/867,9257/2492 is 1/2160564.
To find the highest common factor of 9471,9257, we have to find the factors of both numbers and list the highest common factor.
The factors of 9471 are 1, 3, 7, 11, 21, 33, 41, 77, 123, 231, 287, 451, 861, 1353, 3157, 9471
The factors of 9257 are 1, 9257
The HCF of 9471,9257 is 1.
Lets's calculate GCF of 9471,9257
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9471,9257 By Matching Biggest Common Factor Method
Now, list down the factors of 9471
:1,3,7,11,21,33,41,77,123,231,287,451,861,1353,3157,9471
Now, list down the factors of 9257
:1,9257
Greatest Common Factor
We found the factors 9471,9257 . The biggest common factor number is the GCF number.
So the greatest common factor 9471,9257 is 1.
Lets's calculate LCM of 867,2492
Given numbers has no common factors except 1. So, there LCM is their product i.e 2160564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2160564
Therefore, the GCF of Fractions 9471/867,9257/2492 is 1/2160564
Least Common Multiple of 867,2492 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 867,2492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,2492) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(867,2492) x common factors =1 x 1 = 1
LCM(867,2492) = ( 867 × 2492 ) / 1
LCM(867,2492) = 2160564 / 1
LCM(867,2492) = 2160564
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FAQs on GCF of Fractions of 9471/867, 9257/2492
1. What is the HCF of 9471,9257?
The HCF of 9471,9257 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 9471/867, 9257/2492?
Answer: GCF of Numerators as per given numbers 9471/867, 9257/2492 is
GCF of Numerators i.e. for 9471,9257 is 1
LCM of denominators i.e. for 867,2492 is 2160564.
Thus, GCF of Fractions is 1/2160564.Finally, GCF of Fractions for 9471/867, 9257/2492 is 1/2160564.