GCF of 9717/340, 7811/4497
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9717/340, 7811/4497 i.e 1/1528980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9717/340, 7811/4497.
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 9717/340,7811/4497?
Given fractions are 9717/340,7811/4497
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 9717/340,7811/4497, numerators are 9717,7811
Denominators are 340,4497
The GCF of 9717,7811 is 1 .
LCM of 340,4497 is 1528980.
The greatest common factor of 9717/340,7811/4497 = [GCF of 9717,7811]/[LCM of 340,4497]= 1/1528980
Therefore, the GCF of 9717/340,7811/4497 is 1/1528980.
To find the highest common factor of 9717,7811, we have to find the factors of both numbers and list the highest common factor.
The factors of 9717 are 1, 3, 41, 79, 123, 237, 3239, 9717
The factors of 7811 are 1, 73, 107, 7811
The HCF of 9717,7811 is 1.
Lets's calculate GCF of 9717,7811
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9717,7811 By Matching Biggest Common Factor Method
Now, list down the factors of 9717
:1,3,41,79,123,237,3239,9717
Now, list down the factors of 7811
:1,73,107,7811
Greatest Common Factor
We found the factors 9717,7811 . The biggest common factor number is the GCF number.
So the greatest common factor 9717,7811 is 1.
Lets's calculate LCM of 340,4497
Given numbers has no common factors except 1. So, there LCM is their product i.e 1528980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1528980
Therefore, the GCF of Fractions 9717/340,7811/4497 is 1/1528980
Least Common Multiple of 340,4497 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 340,4497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,4497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(340,4497) x common factors =1 x 1 = 1
LCM(340,4497) = ( 340 × 4497 ) / 1
LCM(340,4497) = 1528980 / 1
LCM(340,4497) = 1528980
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FAQs on GCF of Fractions of 9717/340, 7811/4497
1. What is the HCF of 9717,7811?
The HCF of 9717,7811 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 9717/340, 7811/4497?
Answer: GCF of Numerators as per given numbers 9717/340, 7811/4497 is
GCF of Numerators i.e. for 9717,7811 is 1
LCM of denominators i.e. for 340,4497 is 1528980.
Thus, GCF of Fractions is 1/1528980.Finally, GCF of Fractions for 9717/340, 7811/4497 is 1/1528980.