GCF of 1289/853, 9471/667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1289/853, 9471/667 i.e 1/568951 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1289/853, 9471/667.
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 1289/853,9471/667?
Given fractions are 1289/853,9471/667
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 1289/853,9471/667, numerators are 1289,9471
Denominators are 853,667
The GCF of 1289,9471 is 1 .
LCM of 853,667 is 568951.
The greatest common factor of 1289/853,9471/667 = [GCF of 1289,9471]/[LCM of 853,667]= 1/568951
Therefore, the GCF of 1289/853,9471/667 is 1/568951.
To find the highest common factor of 1289,9471, we have to find the factors of both numbers and list the highest common factor.
The factors of 1289 are 1, 1289
The factors of 9471 are 1, 3, 7, 11, 21, 33, 41, 77, 123, 231, 287, 451, 861, 1353, 3157, 9471
The HCF of 1289,9471 is 1.
Lets's calculate GCF of 1289,9471
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1289,9471 By Matching Biggest Common Factor Method
Now, list down the factors of 1289
:1,1289
Now, list down the factors of 9471
:1,3,7,11,21,33,41,77,123,231,287,451,861,1353,3157,9471
Greatest Common Factor
We found the factors 1289,9471 . The biggest common factor number is the GCF number.
So the greatest common factor 1289,9471 is 1.
Lets's calculate LCM of 853,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 568951
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/568951
Therefore, the GCF of Fractions 1289/853,9471/667 is 1/568951
Least Common Multiple of 853,667 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 853,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,667) x common factors =1 x 1 = 1
LCM(853,667) = ( 853 × 667 ) / 1
LCM(853,667) = 568951 / 1
LCM(853,667) = 568951
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FAQs on GCF of Fractions of 1289/853, 9471/667
1. What is the HCF of 1289,9471?
The HCF of 1289,9471 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 1289/853, 9471/667?
Answer: GCF of Numerators as per given numbers 1289/853, 9471/667 is
GCF of Numerators i.e. for 1289,9471 is 1
LCM of denominators i.e. for 853,667 is 568951.
Thus, GCF of Fractions is 1/568951.Finally, GCF of Fractions for 1289/853, 9471/667 is 1/568951.