GCF of 8019/175, 6708/679
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8019/175, 6708/679 i.e 3/16975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8019/175, 6708/679.
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 8019/175,6708/679?
Given fractions are 8019/175,6708/679
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 8019/175,6708/679, numerators are 8019,6708
Denominators are 175,679
The GCF of 8019,6708 is 3 .
LCM of 175,679 is 16975.
The greatest common factor of 8019/175,6708/679 = [GCF of 8019,6708]/[LCM of 175,679]= 3/16975
Therefore, the GCF of 8019/175,6708/679 is 3/16975.
To find the highest common factor of 8019,6708, we have to find the factors of both numbers and list the highest common factor.
The factors of 8019 are 1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 729, 891, 2673, 8019
The factors of 6708 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 43, 52, 78, 86, 129, 156, 172, 258, 516, 559, 1118, 1677, 2236, 3354, 6708
The HCF of 8019,6708 is 3.
Lets's calculate GCF of 8019,6708
| 3 | 8019, 6708 |
| 2673, 2236 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8019,6708 By Matching Biggest Common Factor Method
Now, list down the factors of 8019
:1,3,9,11,27,33,81,99,243,297,729,891,2673,8019
Now, list down the factors of 6708
:1,2,3,4,6,12,13,26,39,43,52,78,86,129,156,172,258,516,559,1118,1677,2236,3354,6708
Greatest Common Factor
We found the factors 8019,6708 . The biggest common factor number is the GCF number.
So the greatest common factor 8019,6708 is 3.
Lets's calculate LCM of 175,679
| 7 | 175, 679 |
| 25, 97 |
∴ So the LCM of the given numbers is 7 x 25 x 97 = 16975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/16975
Therefore, the GCF of Fractions 8019/175,6708/679 is 3/16975
Least Common Multiple of 175,679 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 175,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,679) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(175,679) x common factors =7 x 1 = 7
LCM(175,679) = ( 175 × 679 ) / 7
LCM(175,679) = 118825 / 7
LCM(175,679) = 16975
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FAQs on GCF of Fractions of 8019/175, 6708/679
1. What is the HCF of 8019,6708?
The HCF of 8019,6708 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 8019/175, 6708/679?
Answer: GCF of Numerators as per given numbers 8019/175, 6708/679 is
GCF of Numerators i.e. for 8019,6708 is 3
LCM of denominators i.e. for 175,679 is 16975.
Thus, GCF of Fractions is 3/16975.Finally, GCF of Fractions for 8019/175, 6708/679 is 3/16975.