GCF of 5378/775, 9271/161
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5378/775, 9271/161 i.e 1/124775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5378/775, 9271/161.
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 5378/775,9271/161?
Given fractions are 5378/775,9271/161
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 5378/775,9271/161, numerators are 5378,9271
Denominators are 775,161
The GCF of 5378,9271 is 1 .
LCM of 775,161 is 124775.
The greatest common factor of 5378/775,9271/161 = [GCF of 5378,9271]/[LCM of 775,161]= 1/124775
Therefore, the GCF of 5378/775,9271/161 is 1/124775.
To find the highest common factor of 5378,9271, we have to find the factors of both numbers and list the highest common factor.
The factors of 5378 are 1, 2, 2689, 5378
The factors of 9271 are 1, 73, 127, 9271
The HCF of 5378,9271 is 1.
Lets's calculate GCF of 5378,9271
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5378,9271 By Matching Biggest Common Factor Method
Now, list down the factors of 5378
:1,2,2689,5378
Now, list down the factors of 9271
:1,73,127,9271
Greatest Common Factor
We found the factors 5378,9271 . The biggest common factor number is the GCF number.
So the greatest common factor 5378,9271 is 1.
Lets's calculate LCM of 775,161
Given numbers has no common factors except 1. So, there LCM is their product i.e 124775
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124775
Therefore, the GCF of Fractions 5378/775,9271/161 is 1/124775
Least Common Multiple of 775,161 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 775,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(775,161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(775,161) x common factors =1 x 1 = 1
LCM(775,161) = ( 775 × 161 ) / 1
LCM(775,161) = 124775 / 1
LCM(775,161) = 124775
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FAQs on GCF of Fractions of 5378/775, 9271/161
1. What is the HCF of 5378,9271?
The HCF of 5378,9271 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 5378/775, 9271/161?
Answer: GCF of Numerators as per given numbers 5378/775, 9271/161 is
GCF of Numerators i.e. for 5378,9271 is 1
LCM of denominators i.e. for 775,161 is 124775.
Thus, GCF of Fractions is 1/124775.Finally, GCF of Fractions for 5378/775, 9271/161 is 1/124775.