GCF of 2729/305, 9698/6501
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2729/305, 9698/6501 i.e 1/1982805 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2729/305, 9698/6501.
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 2729/305,9698/6501?
Given fractions are 2729/305,9698/6501
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 2729/305,9698/6501, numerators are 2729,9698
Denominators are 305,6501
The GCF of 2729,9698 is 1 .
LCM of 305,6501 is 1982805.
The greatest common factor of 2729/305,9698/6501 = [GCF of 2729,9698]/[LCM of 305,6501]= 1/1982805
Therefore, the GCF of 2729/305,9698/6501 is 1/1982805.
To find the highest common factor of 2729,9698, we have to find the factors of both numbers and list the highest common factor.
The factors of 2729 are 1, 2729
The factors of 9698 are 1, 2, 13, 26, 373, 746, 4849, 9698
The HCF of 2729,9698 is 1.
Lets's calculate GCF of 2729,9698
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2729,9698 By Matching Biggest Common Factor Method
Now, list down the factors of 2729
:1,2729
Now, list down the factors of 9698
:1,2,13,26,373,746,4849,9698
Greatest Common Factor
We found the factors 2729,9698 . The biggest common factor number is the GCF number.
So the greatest common factor 2729,9698 is 1.
Lets's calculate LCM of 305,6501
Given numbers has no common factors except 1. So, there LCM is their product i.e 1982805
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1982805
Therefore, the GCF of Fractions 2729/305,9698/6501 is 1/1982805
Least Common Multiple of 305,6501 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 305,6501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,6501) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,6501) x common factors =1 x 1 = 1
LCM(305,6501) = ( 305 × 6501 ) / 1
LCM(305,6501) = 1982805 / 1
LCM(305,6501) = 1982805
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FAQs on GCF of Fractions of 2729/305, 9698/6501
1. What is the HCF of 2729,9698?
The HCF of 2729,9698 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 2729/305, 9698/6501?
Answer: GCF of Numerators as per given numbers 2729/305, 9698/6501 is
GCF of Numerators i.e. for 2729,9698 is 1
LCM of denominators i.e. for 305,6501 is 1982805.
Thus, GCF of Fractions is 1/1982805.Finally, GCF of Fractions for 2729/305, 9698/6501 is 1/1982805.