GCF of 8698/982, 6065/9651
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8698/982, 6065/9651 i.e 1/9477282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8698/982, 6065/9651.
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 8698/982,6065/9651?
Given fractions are 8698/982,6065/9651
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 8698/982,6065/9651, numerators are 8698,6065
Denominators are 982,9651
The GCF of 8698,6065 is 1 .
LCM of 982,9651 is 9477282.
The greatest common factor of 8698/982,6065/9651 = [GCF of 8698,6065]/[LCM of 982,9651]= 1/9477282
Therefore, the GCF of 8698/982,6065/9651 is 1/9477282.
To find the highest common factor of 8698,6065, we have to find the factors of both numbers and list the highest common factor.
The factors of 8698 are 1, 2, 4349, 8698
The factors of 6065 are 1, 5, 1213, 6065
The HCF of 8698,6065 is 1.
Lets's calculate GCF of 8698,6065
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8698,6065 By Matching Biggest Common Factor Method
Now, list down the factors of 8698
:1,2,4349,8698
Now, list down the factors of 6065
:1,5,1213,6065
Greatest Common Factor
We found the factors 8698,6065 . The biggest common factor number is the GCF number.
So the greatest common factor 8698,6065 is 1.
Lets's calculate LCM of 982,9651
Given numbers has no common factors except 1. So, there LCM is their product i.e 9477282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9477282
Therefore, the GCF of Fractions 8698/982,6065/9651 is 1/9477282
Least Common Multiple of 982,9651 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 982,9651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,9651) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(982,9651) x common factors =1 x 1 = 1
LCM(982,9651) = ( 982 × 9651 ) / 1
LCM(982,9651) = 9477282 / 1
LCM(982,9651) = 9477282
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FAQs on GCF of Fractions of 8698/982, 6065/9651
1. What is the HCF of 8698,6065?
The HCF of 8698,6065 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 8698/982, 6065/9651?
Answer: GCF of Numerators as per given numbers 8698/982, 6065/9651 is
GCF of Numerators i.e. for 8698,6065 is 1
LCM of denominators i.e. for 982,9651 is 9477282.
Thus, GCF of Fractions is 1/9477282.Finally, GCF of Fractions for 8698/982, 6065/9651 is 1/9477282.