GCF of 9769/247, 9276/729
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9769/247, 9276/729 i.e 1/180063 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9769/247, 9276/729.
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 9769/247,9276/729?
Given fractions are 9769/247,9276/729
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 9769/247,9276/729, numerators are 9769,9276
Denominators are 247,729
The GCF of 9769,9276 is 1 .
LCM of 247,729 is 180063.
The greatest common factor of 9769/247,9276/729 = [GCF of 9769,9276]/[LCM of 247,729]= 1/180063
Therefore, the GCF of 9769/247,9276/729 is 1/180063.
To find the highest common factor of 9769,9276, we have to find the factors of both numbers and list the highest common factor.
The factors of 9769 are 1, 9769
The factors of 9276 are 1, 2, 3, 4, 6, 12, 773, 1546, 2319, 3092, 4638, 9276
The HCF of 9769,9276 is 1.
Lets's calculate GCF of 9769,9276
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9769,9276 By Matching Biggest Common Factor Method
Now, list down the factors of 9769
:1,9769
Now, list down the factors of 9276
:1,2,3,4,6,12,773,1546,2319,3092,4638,9276
Greatest Common Factor
We found the factors 9769,9276 . The biggest common factor number is the GCF number.
So the greatest common factor 9769,9276 is 1.
Lets's calculate LCM of 247,729
Given numbers has no common factors except 1. So, there LCM is their product i.e 180063
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180063
Therefore, the GCF of Fractions 9769/247,9276/729 is 1/180063
Least Common Multiple of 247,729 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 247,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(247,729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(247,729) x common factors =1 x 1 = 1
LCM(247,729) = ( 247 × 729 ) / 1
LCM(247,729) = 180063 / 1
LCM(247,729) = 180063
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FAQs on GCF of Fractions of 9769/247, 9276/729
1. What is the HCF of 9769,9276?
The HCF of 9769,9276 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 9769/247, 9276/729?
Answer: GCF of Numerators as per given numbers 9769/247, 9276/729 is
GCF of Numerators i.e. for 9769,9276 is 1
LCM of denominators i.e. for 247,729 is 180063.
Thus, GCF of Fractions is 1/180063.Finally, GCF of Fractions for 9769/247, 9276/729 is 1/180063.