GCF of 2915/443, 2805/1928
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2915/443, 2805/1928 i.e 55/854104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2915/443, 2805/1928.
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 2915/443,2805/1928?
Given fractions are 2915/443,2805/1928
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 2915/443,2805/1928, numerators are 2915,2805
Denominators are 443,1928
The GCF of 2915,2805 is 55 .
LCM of 443,1928 is 854104.
The greatest common factor of 2915/443,2805/1928 = [GCF of 2915,2805]/[LCM of 443,1928]= 55/854104
Therefore, the GCF of 2915/443,2805/1928 is 55/854104.
To find the highest common factor of 2915,2805, we have to find the factors of both numbers and list the highest common factor.
The factors of 2915 are 1, 5, 11, 53, 55, 265, 583, 2915
The factors of 2805 are 1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 561, 935, 2805
The HCF of 2915,2805 is 55.
Lets's calculate GCF of 2915,2805
| 5 | 2915, 2805 |
| 11 | 583, 561 |
| 53, 51 |
∴ So the GCF of the given numbers is 5 x 11 = 55
Greatest Common Factor of 2915,2805 By Matching Biggest Common Factor Method
Now, list down the factors of 2915
:1,5,11,53,55,265,583,2915
Now, list down the factors of 2805
:1,3,5,11,15,17,33,51,55,85,165,187,255,561,935,2805
Greatest Common Factor
We found the factors 2915,2805 . The biggest common factor number is the GCF number.
So the greatest common factor 2915,2805 is 55.
Lets's calculate LCM of 443,1928
Given numbers has no common factors except 1. So, there LCM is their product i.e 854104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/854104
Therefore, the GCF of Fractions 2915/443,2805/1928 is 55/854104
Least Common Multiple of 443,1928 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 443,1928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,1928) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,1928) x common factors =1 x 1 = 1
LCM(443,1928) = ( 443 × 1928 ) / 1
LCM(443,1928) = 854104 / 1
LCM(443,1928) = 854104
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FAQs on GCF of Fractions of 2915/443, 2805/1928
1. What is the HCF of 2915,2805?
The HCF of 2915,2805 is 55
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 2915/443, 2805/1928?
Answer: GCF of Numerators as per given numbers 2915/443, 2805/1928 is
GCF of Numerators i.e. for 2915,2805 is 55
LCM of denominators i.e. for 443,1928 is 854104.
Thus, GCF of Fractions is 55/854104.Finally, GCF of Fractions for 2915/443, 2805/1928 is 55/854104.