GCF of 7246/319, 9779/2253
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7246/319, 9779/2253 i.e 1/718707 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7246/319, 9779/2253.
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 7246/319,9779/2253?
Given fractions are 7246/319,9779/2253
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 7246/319,9779/2253, numerators are 7246,9779
Denominators are 319,2253
The GCF of 7246,9779 is 1 .
LCM of 319,2253 is 718707.
The greatest common factor of 7246/319,9779/2253 = [GCF of 7246,9779]/[LCM of 319,2253]= 1/718707
Therefore, the GCF of 7246/319,9779/2253 is 1/718707.
To find the highest common factor of 7246,9779, we have to find the factors of both numbers and list the highest common factor.
The factors of 7246 are 1, 2, 3623, 7246
The factors of 9779 are 1, 7, 11, 77, 127, 889, 1397, 9779
The HCF of 7246,9779 is 1.
Lets's calculate GCF of 7246,9779
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7246,9779 By Matching Biggest Common Factor Method
Now, list down the factors of 7246
:1,2,3623,7246
Now, list down the factors of 9779
:1,7,11,77,127,889,1397,9779
Greatest Common Factor
We found the factors 7246,9779 . The biggest common factor number is the GCF number.
So the greatest common factor 7246,9779 is 1.
Lets's calculate LCM of 319,2253
Given numbers has no common factors except 1. So, there LCM is their product i.e 718707
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/718707
Therefore, the GCF of Fractions 7246/319,9779/2253 is 1/718707
Least Common Multiple of 319,2253 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 319,2253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,2253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,2253) x common factors =1 x 1 = 1
LCM(319,2253) = ( 319 × 2253 ) / 1
LCM(319,2253) = 718707 / 1
LCM(319,2253) = 718707
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FAQs on GCF of Fractions of 7246/319, 9779/2253
1. What is the HCF of 7246,9779?
The HCF of 7246,9779 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 7246/319, 9779/2253?
Answer: GCF of Numerators as per given numbers 7246/319, 9779/2253 is
GCF of Numerators i.e. for 7246,9779 is 1
LCM of denominators i.e. for 319,2253 is 718707.
Thus, GCF of Fractions is 1/718707.Finally, GCF of Fractions for 7246/319, 9779/2253 is 1/718707.