GCF of 9163/976, 9014/4375
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9163/976, 9014/4375 i.e 1/4270000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9163/976, 9014/4375.
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 9163/976,9014/4375?
Given fractions are 9163/976,9014/4375
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 9163/976,9014/4375, numerators are 9163,9014
Denominators are 976,4375
The GCF of 9163,9014 is 1 .
LCM of 976,4375 is 4270000.
The greatest common factor of 9163/976,9014/4375 = [GCF of 9163,9014]/[LCM of 976,4375]= 1/4270000
Therefore, the GCF of 9163/976,9014/4375 is 1/4270000.
To find the highest common factor of 9163,9014, we have to find the factors of both numbers and list the highest common factor.
The factors of 9163 are 1, 7, 11, 17, 49, 77, 119, 187, 539, 833, 1309, 9163
The factors of 9014 are 1, 2, 4507, 9014
The HCF of 9163,9014 is 1.
Lets's calculate GCF of 9163,9014
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9163,9014 By Matching Biggest Common Factor Method
Now, list down the factors of 9163
:1,7,11,17,49,77,119,187,539,833,1309,9163
Now, list down the factors of 9014
:1,2,4507,9014
Greatest Common Factor
We found the factors 9163,9014 . The biggest common factor number is the GCF number.
So the greatest common factor 9163,9014 is 1.
Lets's calculate LCM of 976,4375
Given numbers has no common factors except 1. So, there LCM is their product i.e 4270000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4270000
Therefore, the GCF of Fractions 9163/976,9014/4375 is 1/4270000
Least Common Multiple of 976,4375 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 976,4375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,4375) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(976,4375) x common factors =1 x 1 = 1
LCM(976,4375) = ( 976 × 4375 ) / 1
LCM(976,4375) = 4270000 / 1
LCM(976,4375) = 4270000
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FAQs on GCF of Fractions of 9163/976, 9014/4375
1. What is the HCF of 9163,9014?
The HCF of 9163,9014 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 9163/976, 9014/4375?
Answer: GCF of Numerators as per given numbers 9163/976, 9014/4375 is
GCF of Numerators i.e. for 9163,9014 is 1
LCM of denominators i.e. for 976,4375 is 4270000.
Thus, GCF of Fractions is 1/4270000.Finally, GCF of Fractions for 9163/976, 9014/4375 is 1/4270000.