GCF of 2889/541, 7257/9443
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2889/541, 7257/9443 i.e 3/5108663 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2889/541, 7257/9443.
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 2889/541,7257/9443?
Given fractions are 2889/541,7257/9443
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 2889/541,7257/9443, numerators are 2889,7257
Denominators are 541,9443
The GCF of 2889,7257 is 3 .
LCM of 541,9443 is 5108663.
The greatest common factor of 2889/541,7257/9443 = [GCF of 2889,7257]/[LCM of 541,9443]= 3/5108663
Therefore, the GCF of 2889/541,7257/9443 is 3/5108663.
To find the highest common factor of 2889,7257, we have to find the factors of both numbers and list the highest common factor.
The factors of 2889 are 1, 3, 9, 27, 107, 321, 963, 2889
The factors of 7257 are 1, 3, 41, 59, 123, 177, 2419, 7257
The HCF of 2889,7257 is 3.
Lets's calculate GCF of 2889,7257
| 3 | 2889, 7257 |
| 963, 2419 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2889,7257 By Matching Biggest Common Factor Method
Now, list down the factors of 2889
:1,3,9,27,107,321,963,2889
Now, list down the factors of 7257
:1,3,41,59,123,177,2419,7257
Greatest Common Factor
We found the factors 2889,7257 . The biggest common factor number is the GCF number.
So the greatest common factor 2889,7257 is 3.
Lets's calculate LCM of 541,9443
Given numbers has no common factors except 1. So, there LCM is their product i.e 5108663
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5108663
Therefore, the GCF of Fractions 2889/541,7257/9443 is 3/5108663
Least Common Multiple of 541,9443 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 541,9443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(541,9443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(541,9443) x common factors =1 x 1 = 1
LCM(541,9443) = ( 541 × 9443 ) / 1
LCM(541,9443) = 5108663 / 1
LCM(541,9443) = 5108663
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FAQs on GCF of Fractions of 2889/541, 7257/9443
1. What is the HCF of 2889,7257?
The HCF of 2889,7257 is 3
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 2889/541, 7257/9443?
Answer: GCF of Numerators as per given numbers 2889/541, 7257/9443 is
GCF of Numerators i.e. for 2889,7257 is 3
LCM of denominators i.e. for 541,9443 is 5108663.
Thus, GCF of Fractions is 3/5108663.Finally, GCF of Fractions for 2889/541, 7257/9443 is 3/5108663.