GCF of 6966/823, 6870/9887
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6966/823, 6870/9887 i.e 6/8137001 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6966/823, 6870/9887.
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 6966/823,6870/9887?
Given fractions are 6966/823,6870/9887
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 6966/823,6870/9887, numerators are 6966,6870
Denominators are 823,9887
The GCF of 6966,6870 is 6 .
LCM of 823,9887 is 8137001.
The greatest common factor of 6966/823,6870/9887 = [GCF of 6966,6870]/[LCM of 823,9887]= 6/8137001
Therefore, the GCF of 6966/823,6870/9887 is 6/8137001.
To find the highest common factor of 6966,6870, we have to find the factors of both numbers and list the highest common factor.
The factors of 6966 are 1, 2, 3, 6, 9, 18, 27, 43, 54, 81, 86, 129, 162, 258, 387, 774, 1161, 2322, 3483, 6966
The factors of 6870 are 1, 2, 3, 5, 6, 10, 15, 30, 229, 458, 687, 1145, 1374, 2290, 3435, 6870
The HCF of 6966,6870 is 6.
Lets's calculate GCF of 6966,6870
| 2 | 6966, 6870 |
| 3 | 3483, 3435 |
| 1161, 1145 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6966,6870 By Matching Biggest Common Factor Method
Now, list down the factors of 6966
:1,2,3,6,9,18,27,43,54,81,86,129,162,258,387,774,1161,2322,3483,6966
Now, list down the factors of 6870
:1,2,3,5,6,10,15,30,229,458,687,1145,1374,2290,3435,6870
Greatest Common Factor
We found the factors 6966,6870 . The biggest common factor number is the GCF number.
So the greatest common factor 6966,6870 is 6.
Lets's calculate LCM of 823,9887
Given numbers has no common factors except 1. So, there LCM is their product i.e 8137001
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/8137001
Therefore, the GCF of Fractions 6966/823,6870/9887 is 6/8137001
Least Common Multiple of 823,9887 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 823,9887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,9887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,9887) x common factors =1 x 1 = 1
LCM(823,9887) = ( 823 × 9887 ) / 1
LCM(823,9887) = 8137001 / 1
LCM(823,9887) = 8137001
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FAQs on GCF of Fractions of 6966/823, 6870/9887
1. What is the HCF of 6966,6870?
The HCF of 6966,6870 is 6
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 6966/823, 6870/9887?
Answer: GCF of Numerators as per given numbers 6966/823, 6870/9887 is
GCF of Numerators i.e. for 6966,6870 is 6
LCM of denominators i.e. for 823,9887 is 8137001.
Thus, GCF of Fractions is 6/8137001.Finally, GCF of Fractions for 6966/823, 6870/9887 is 6/8137001.