GCF of 8175/511, 7315/2469
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8175/511, 7315/2469 i.e 5/1261659 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8175/511, 7315/2469.
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 8175/511,7315/2469?
Given fractions are 8175/511,7315/2469
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 8175/511,7315/2469, numerators are 8175,7315
Denominators are 511,2469
The GCF of 8175,7315 is 5 .
LCM of 511,2469 is 1261659.
The greatest common factor of 8175/511,7315/2469 = [GCF of 8175,7315]/[LCM of 511,2469]= 5/1261659
Therefore, the GCF of 8175/511,7315/2469 is 5/1261659.
To find the highest common factor of 8175,7315, we have to find the factors of both numbers and list the highest common factor.
The factors of 8175 are 1, 3, 5, 15, 25, 75, 109, 327, 545, 1635, 2725, 8175
The factors of 7315 are 1, 5, 7, 11, 19, 35, 55, 77, 95, 133, 209, 385, 665, 1045, 1463, 7315
The HCF of 8175,7315 is 5.
Lets's calculate GCF of 8175,7315
| 5 | 8175, 7315 |
| 1635, 1463 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8175,7315 By Matching Biggest Common Factor Method
Now, list down the factors of 8175
:1,3,5,15,25,75,109,327,545,1635,2725,8175
Now, list down the factors of 7315
:1,5,7,11,19,35,55,77,95,133,209,385,665,1045,1463,7315
Greatest Common Factor
We found the factors 8175,7315 . The biggest common factor number is the GCF number.
So the greatest common factor 8175,7315 is 5.
Lets's calculate LCM of 511,2469
Given numbers has no common factors except 1. So, there LCM is their product i.e 1261659
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1261659
Therefore, the GCF of Fractions 8175/511,7315/2469 is 5/1261659
Least Common Multiple of 511,2469 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 511,2469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,2469) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(511,2469) x common factors =1 x 1 = 1
LCM(511,2469) = ( 511 × 2469 ) / 1
LCM(511,2469) = 1261659 / 1
LCM(511,2469) = 1261659
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FAQs on GCF of Fractions of 8175/511, 7315/2469
1. What is the HCF of 8175,7315?
The HCF of 8175,7315 is 5
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 8175/511, 7315/2469?
Answer: GCF of Numerators as per given numbers 8175/511, 7315/2469 is
GCF of Numerators i.e. for 8175,7315 is 5
LCM of denominators i.e. for 511,2469 is 1261659.
Thus, GCF of Fractions is 5/1261659.Finally, GCF of Fractions for 8175/511, 7315/2469 is 5/1261659.