GCF of 5115/288, 6570/1453
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5115/288, 6570/1453 i.e 15/418464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5115/288, 6570/1453.
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 5115/288,6570/1453?
Given fractions are 5115/288,6570/1453
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 5115/288,6570/1453, numerators are 5115,6570
Denominators are 288,1453
The GCF of 5115,6570 is 15 .
LCM of 288,1453 is 418464.
The greatest common factor of 5115/288,6570/1453 = [GCF of 5115,6570]/[LCM of 288,1453]= 15/418464
Therefore, the GCF of 5115/288,6570/1453 is 15/418464.
To find the highest common factor of 5115,6570, we have to find the factors of both numbers and list the highest common factor.
The factors of 5115 are 1, 3, 5, 11, 15, 31, 33, 55, 93, 155, 165, 341, 465, 1023, 1705, 5115
The factors of 6570 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 73, 90, 146, 219, 365, 438, 657, 730, 1095, 1314, 2190, 3285, 6570
The HCF of 5115,6570 is 15.
Lets's calculate GCF of 5115,6570
| 3 | 5115, 6570 |
| 5 | 1705, 2190 |
| 341, 438 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 5115,6570 By Matching Biggest Common Factor Method
Now, list down the factors of 5115
:1,3,5,11,15,31,33,55,93,155,165,341,465,1023,1705,5115
Now, list down the factors of 6570
:1,2,3,5,6,9,10,15,18,30,45,73,90,146,219,365,438,657,730,1095,1314,2190,3285,6570
Greatest Common Factor
We found the factors 5115,6570 . The biggest common factor number is the GCF number.
So the greatest common factor 5115,6570 is 15.
Lets's calculate LCM of 288,1453
Given numbers has no common factors except 1. So, there LCM is their product i.e 418464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/418464
Therefore, the GCF of Fractions 5115/288,6570/1453 is 15/418464
Least Common Multiple of 288,1453 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 288,1453 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,1453) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(288,1453) x common factors =1 x 1 = 1
LCM(288,1453) = ( 288 × 1453 ) / 1
LCM(288,1453) = 418464 / 1
LCM(288,1453) = 418464
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FAQs on GCF of Fractions of 5115/288, 6570/1453
1. What is the HCF of 5115,6570?
The HCF of 5115,6570 is 15
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 5115/288, 6570/1453?
Answer: GCF of Numerators as per given numbers 5115/288, 6570/1453 is
GCF of Numerators i.e. for 5115,6570 is 15
LCM of denominators i.e. for 288,1453 is 418464.
Thus, GCF of Fractions is 15/418464.Finally, GCF of Fractions for 5115/288, 6570/1453 is 15/418464.