GCF of 7073/421, 6413/2209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7073/421, 6413/2209 i.e 11/929989 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7073/421, 6413/2209.
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 7073/421,6413/2209?
Given fractions are 7073/421,6413/2209
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 7073/421,6413/2209, numerators are 7073,6413
Denominators are 421,2209
The GCF of 7073,6413 is 11 .
LCM of 421,2209 is 929989.
The greatest common factor of 7073/421,6413/2209 = [GCF of 7073,6413]/[LCM of 421,2209]= 11/929989
Therefore, the GCF of 7073/421,6413/2209 is 11/929989.
To find the highest common factor of 7073,6413, we have to find the factors of both numbers and list the highest common factor.
The factors of 7073 are 1, 11, 643, 7073
The factors of 6413 are 1, 11, 53, 121, 583, 6413
The HCF of 7073,6413 is 11.
Lets's calculate GCF of 7073,6413
| 11 | 7073, 6413 |
| 643, 583 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 7073,6413 By Matching Biggest Common Factor Method
Now, list down the factors of 7073
:1,11,643,7073
Now, list down the factors of 6413
:1,11,53,121,583,6413
Greatest Common Factor
We found the factors 7073,6413 . The biggest common factor number is the GCF number.
So the greatest common factor 7073,6413 is 11.
Lets's calculate LCM of 421,2209
Given numbers has no common factors except 1. So, there LCM is their product i.e 929989
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/929989
Therefore, the GCF of Fractions 7073/421,6413/2209 is 11/929989
Least Common Multiple of 421,2209 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 421,2209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,2209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,2209) x common factors =1 x 1 = 1
LCM(421,2209) = ( 421 × 2209 ) / 1
LCM(421,2209) = 929989 / 1
LCM(421,2209) = 929989
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FAQs on GCF of Fractions of 7073/421, 6413/2209
1. What is the HCF of 7073,6413?
The HCF of 7073,6413 is 11
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 7073/421, 6413/2209?
Answer: GCF of Numerators as per given numbers 7073/421, 6413/2209 is
GCF of Numerators i.e. for 7073,6413 is 11
LCM of denominators i.e. for 421,2209 is 929989.
Thus, GCF of Fractions is 11/929989.Finally, GCF of Fractions for 7073/421, 6413/2209 is 11/929989.