GCF of 6417/579, 7015/867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6417/579, 7015/867 i.e 23/167331 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6417/579, 7015/867.
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 6417/579,7015/867?
Given fractions are 6417/579,7015/867
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 6417/579,7015/867, numerators are 6417,7015
Denominators are 579,867
The GCF of 6417,7015 is 23 .
LCM of 579,867 is 167331.
The greatest common factor of 6417/579,7015/867 = [GCF of 6417,7015]/[LCM of 579,867]= 23/167331
Therefore, the GCF of 6417/579,7015/867 is 23/167331.
To find the highest common factor of 6417,7015, we have to find the factors of both numbers and list the highest common factor.
The factors of 6417 are 1, 3, 9, 23, 31, 69, 93, 207, 279, 713, 2139, 6417
The factors of 7015 are 1, 5, 23, 61, 115, 305, 1403, 7015
The HCF of 6417,7015 is 23.
Lets's calculate GCF of 6417,7015
| 23 | 6417, 7015 |
| 279, 305 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 6417,7015 By Matching Biggest Common Factor Method
Now, list down the factors of 6417
:1,3,9,23,31,69,93,207,279,713,2139,6417
Now, list down the factors of 7015
:1,5,23,61,115,305,1403,7015
Greatest Common Factor
We found the factors 6417,7015 . The biggest common factor number is the GCF number.
So the greatest common factor 6417,7015 is 23.
Lets's calculate LCM of 579,867
| 3 | 579, 867 |
| 193, 289 |
∴ So the LCM of the given numbers is 3 x 193 x 289 = 167331
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/167331
Therefore, the GCF of Fractions 6417/579,7015/867 is 23/167331
Least Common Multiple of 579,867 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 579,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,867) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(579,867) x common factors =3 x 1 = 3
LCM(579,867) = ( 579 × 867 ) / 3
LCM(579,867) = 501993 / 3
LCM(579,867) = 167331
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FAQs on GCF of Fractions of 6417/579, 7015/867
1. What is the HCF of 6417,7015?
The HCF of 6417,7015 is 23
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 6417/579, 7015/867?
Answer: GCF of Numerators as per given numbers 6417/579, 7015/867 is
GCF of Numerators i.e. for 6417,7015 is 23
LCM of denominators i.e. for 579,867 is 167331.
Thus, GCF of Fractions is 23/167331.Finally, GCF of Fractions for 6417/579, 7015/867 is 23/167331.