GCF of 7239/293, 1211/2928
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7239/293, 1211/2928 i.e 1/857904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7239/293, 1211/2928.
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 7239/293,1211/2928?
Given fractions are 7239/293,1211/2928
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 7239/293,1211/2928, numerators are 7239,1211
Denominators are 293,2928
The GCF of 7239,1211 is 1 .
LCM of 293,2928 is 857904.
The greatest common factor of 7239/293,1211/2928 = [GCF of 7239,1211]/[LCM of 293,2928]= 1/857904
Therefore, the GCF of 7239/293,1211/2928 is 1/857904.
To find the highest common factor of 7239,1211, we have to find the factors of both numbers and list the highest common factor.
The factors of 7239 are 1, 3, 19, 57, 127, 381, 2413, 7239
The factors of 1211 are 1, 7, 173, 1211
The HCF of 7239,1211 is 1.
Lets's calculate GCF of 7239,1211
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7239,1211 By Matching Biggest Common Factor Method
Now, list down the factors of 7239
:1,3,19,57,127,381,2413,7239
Now, list down the factors of 1211
:1,7,173,1211
Greatest Common Factor
We found the factors 7239,1211 . The biggest common factor number is the GCF number.
So the greatest common factor 7239,1211 is 1.
Lets's calculate LCM of 293,2928
Given numbers has no common factors except 1. So, there LCM is their product i.e 857904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/857904
Therefore, the GCF of Fractions 7239/293,1211/2928 is 1/857904
Least Common Multiple of 293,2928 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 293,2928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,2928) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,2928) x common factors =1 x 1 = 1
LCM(293,2928) = ( 293 × 2928 ) / 1
LCM(293,2928) = 857904 / 1
LCM(293,2928) = 857904
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FAQs on GCF of Fractions of 7239/293, 1211/2928
1. What is the HCF of 7239,1211?
The HCF of 7239,1211 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 7239/293, 1211/2928?
Answer: GCF of Numerators as per given numbers 7239/293, 1211/2928 is
GCF of Numerators i.e. for 7239,1211 is 1
LCM of denominators i.e. for 293,2928 is 857904.
Thus, GCF of Fractions is 1/857904.Finally, GCF of Fractions for 7239/293, 1211/2928 is 1/857904.