GCF of 7096/209, 7966/7194
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7096/209, 7966/7194 i.e 2/136686 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7096/209, 7966/7194.
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 7096/209,7966/7194?
Given fractions are 7096/209,7966/7194
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 7096/209,7966/7194, numerators are 7096,7966
Denominators are 209,7194
The GCF of 7096,7966 is 2 .
LCM of 209,7194 is 136686.
The greatest common factor of 7096/209,7966/7194 = [GCF of 7096,7966]/[LCM of 209,7194]= 2/136686
Therefore, the GCF of 7096/209,7966/7194 is 2/136686.
To find the highest common factor of 7096,7966, we have to find the factors of both numbers and list the highest common factor.
The factors of 7096 are 1, 2, 4, 8, 887, 1774, 3548, 7096
The factors of 7966 are 1, 2, 7, 14, 569, 1138, 3983, 7966
The HCF of 7096,7966 is 2.
Lets's calculate GCF of 7096,7966
| 2 | 7096, 7966 |
| 3548, 3983 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7096,7966 By Matching Biggest Common Factor Method
Now, list down the factors of 7096
:1,2,4,8,887,1774,3548,7096
Now, list down the factors of 7966
:1,2,7,14,569,1138,3983,7966
Greatest Common Factor
We found the factors 7096,7966 . The biggest common factor number is the GCF number.
So the greatest common factor 7096,7966 is 2.
Lets's calculate LCM of 209,7194
| 11 | 209, 7194 |
| 19, 654 |
∴ So the LCM of the given numbers is 11 x 19 x 654 = 136686
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/136686
Therefore, the GCF of Fractions 7096/209,7966/7194 is 2/136686
Least Common Multiple of 209,7194 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 209,7194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,7194) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(209,7194) x common factors =11 x 1 = 11
LCM(209,7194) = ( 209 × 7194 ) / 11
LCM(209,7194) = 1503546 / 11
LCM(209,7194) = 136686
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FAQs on GCF of Fractions of 7096/209, 7966/7194
1. What is the HCF of 7096,7966?
The HCF of 7096,7966 is 2
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 7096/209, 7966/7194?
Answer: GCF of Numerators as per given numbers 7096/209, 7966/7194 is
GCF of Numerators i.e. for 7096,7966 is 2
LCM of denominators i.e. for 209,7194 is 136686.
Thus, GCF of Fractions is 2/136686.Finally, GCF of Fractions for 7096/209, 7966/7194 is 2/136686.