GCF of 7566/510, 7815/860
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7566/510, 7815/860 i.e 3/43860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7566/510, 7815/860.
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 7566/510,7815/860?
Given fractions are 7566/510,7815/860
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 7566/510,7815/860, numerators are 7566,7815
Denominators are 510,860
The GCF of 7566,7815 is 3 .
LCM of 510,860 is 43860.
The greatest common factor of 7566/510,7815/860 = [GCF of 7566,7815]/[LCM of 510,860]= 3/43860
Therefore, the GCF of 7566/510,7815/860 is 3/43860.
To find the highest common factor of 7566,7815, we have to find the factors of both numbers and list the highest common factor.
The factors of 7566 are 1, 2, 3, 6, 13, 26, 39, 78, 97, 194, 291, 582, 1261, 2522, 3783, 7566
The factors of 7815 are 1, 3, 5, 15, 521, 1563, 2605, 7815
The HCF of 7566,7815 is 3.
Lets's calculate GCF of 7566,7815
| 3 | 7566, 7815 |
| 2522, 2605 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7566,7815 By Matching Biggest Common Factor Method
Now, list down the factors of 7566
:1,2,3,6,13,26,39,78,97,194,291,582,1261,2522,3783,7566
Now, list down the factors of 7815
:1,3,5,15,521,1563,2605,7815
Greatest Common Factor
We found the factors 7566,7815 . The biggest common factor number is the GCF number.
So the greatest common factor 7566,7815 is 3.
Lets's calculate LCM of 510,860
| 2 | 510, 860 |
| 5 | 255, 430 |
| 51, 86 |
∴ So the LCM of the given numbers is 2 x 5 x 51 x 86 = 43860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/43860
Therefore, the GCF of Fractions 7566/510,7815/860 is 3/43860
Least Common Multiple of 510,860 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 510,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,860) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(510,860) x common factors =10 x 1 = 10
LCM(510,860) = ( 510 × 860 ) / 10
LCM(510,860) = 438600 / 10
LCM(510,860) = 43860
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FAQs on GCF of Fractions of 7566/510, 7815/860
1. What is the HCF of 7566,7815?
The HCF of 7566,7815 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 7566/510, 7815/860?
Answer: GCF of Numerators as per given numbers 7566/510, 7815/860 is
GCF of Numerators i.e. for 7566,7815 is 3
LCM of denominators i.e. for 510,860 is 43860.
Thus, GCF of Fractions is 3/43860.Finally, GCF of Fractions for 7566/510, 7815/860 is 3/43860.