GCF of 7271/926, 1223/9164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7271/926, 1223/9164 i.e 1/4242932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7271/926, 1223/9164.
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 7271/926,1223/9164?
Given fractions are 7271/926,1223/9164
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 7271/926,1223/9164, numerators are 7271,1223
Denominators are 926,9164
The GCF of 7271,1223 is 1 .
LCM of 926,9164 is 4242932.
The greatest common factor of 7271/926,1223/9164 = [GCF of 7271,1223]/[LCM of 926,9164]= 1/4242932
Therefore, the GCF of 7271/926,1223/9164 is 1/4242932.
To find the highest common factor of 7271,1223, we have to find the factors of both numbers and list the highest common factor.
The factors of 7271 are 1, 11, 661, 7271
The factors of 1223 are 1, 1223
The HCF of 7271,1223 is 1.
Lets's calculate GCF of 7271,1223
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7271,1223 By Matching Biggest Common Factor Method
Now, list down the factors of 7271
:1,11,661,7271
Now, list down the factors of 1223
:1,1223
Greatest Common Factor
We found the factors 7271,1223 . The biggest common factor number is the GCF number.
So the greatest common factor 7271,1223 is 1.
Lets's calculate LCM of 926,9164
| 2 | 926, 9164 |
| 463, 4582 |
∴ So the LCM of the given numbers is 2 x 463 x 4582 = 4242932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4242932
Therefore, the GCF of Fractions 7271/926,1223/9164 is 1/4242932
Least Common Multiple of 926,9164 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 926,9164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,9164) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(926,9164) x common factors =2 x 1 = 2
LCM(926,9164) = ( 926 × 9164 ) / 2
LCM(926,9164) = 8485864 / 2
LCM(926,9164) = 4242932
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7271/926, 1223/9164
1. What is the HCF of 7271,1223?
The HCF of 7271,1223 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 7271/926, 1223/9164?
Answer: GCF of Numerators as per given numbers 7271/926, 1223/9164 is
GCF of Numerators i.e. for 7271,1223 is 1
LCM of denominators i.e. for 926,9164 is 4242932.
Thus, GCF of Fractions is 1/4242932.Finally, GCF of Fractions for 7271/926, 1223/9164 is 1/4242932.