GCF of 6903/72, 7667/705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6903/72, 7667/705 i.e 1/16920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6903/72, 7667/705.
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 6903/72,7667/705?
Given fractions are 6903/72,7667/705
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 6903/72,7667/705, numerators are 6903,7667
Denominators are 72,705
The GCF of 6903,7667 is 1 .
LCM of 72,705 is 16920.
The greatest common factor of 6903/72,7667/705 = [GCF of 6903,7667]/[LCM of 72,705]= 1/16920
Therefore, the GCF of 6903/72,7667/705 is 1/16920.
To find the highest common factor of 6903,7667, we have to find the factors of both numbers and list the highest common factor.
The factors of 6903 are 1, 3, 9, 13, 39, 59, 117, 177, 531, 767, 2301, 6903
The factors of 7667 are 1, 11, 17, 41, 187, 451, 697, 7667
The HCF of 6903,7667 is 1.
Lets's calculate GCF of 6903,7667
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6903,7667 By Matching Biggest Common Factor Method
Now, list down the factors of 6903
:1,3,9,13,39,59,117,177,531,767,2301,6903
Now, list down the factors of 7667
:1,11,17,41,187,451,697,7667
Greatest Common Factor
We found the factors 6903,7667 . The biggest common factor number is the GCF number.
So the greatest common factor 6903,7667 is 1.
Lets's calculate LCM of 72,705
| 3 | 72, 705 |
| 24, 235 |
∴ So the LCM of the given numbers is 3 x 24 x 235 = 16920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16920
Therefore, the GCF of Fractions 6903/72,7667/705 is 1/16920
Least Common Multiple of 72,705 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 72,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,705) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(72,705) x common factors =3 x 1 = 3
LCM(72,705) = ( 72 × 705 ) / 3
LCM(72,705) = 50760 / 3
LCM(72,705) = 16920
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FAQs on GCF of Fractions of 6903/72, 7667/705
1. What is the HCF of 6903,7667?
The HCF of 6903,7667 is 1
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 6903/72, 7667/705?
Answer: GCF of Numerators as per given numbers 6903/72, 7667/705 is
GCF of Numerators i.e. for 6903,7667 is 1
LCM of denominators i.e. for 72,705 is 16920.
Thus, GCF of Fractions is 1/16920.Finally, GCF of Fractions for 6903/72, 7667/705 is 1/16920.