GCF of 7221/342, 4047/1079
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7221/342, 4047/1079 i.e 3/369018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7221/342, 4047/1079.
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 7221/342,4047/1079?
Given fractions are 7221/342,4047/1079
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 7221/342,4047/1079, numerators are 7221,4047
Denominators are 342,1079
The GCF of 7221,4047 is 3 .
LCM of 342,1079 is 369018.
The greatest common factor of 7221/342,4047/1079 = [GCF of 7221,4047]/[LCM of 342,1079]= 3/369018
Therefore, the GCF of 7221/342,4047/1079 is 3/369018.
To find the highest common factor of 7221,4047, we have to find the factors of both numbers and list the highest common factor.
The factors of 7221 are 1, 3, 29, 83, 87, 249, 2407, 7221
The factors of 4047 are 1, 3, 19, 57, 71, 213, 1349, 4047
The HCF of 7221,4047 is 3.
Lets's calculate GCF of 7221,4047
| 3 | 7221, 4047 |
| 2407, 1349 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7221,4047 By Matching Biggest Common Factor Method
Now, list down the factors of 7221
:1,3,29,83,87,249,2407,7221
Now, list down the factors of 4047
:1,3,19,57,71,213,1349,4047
Greatest Common Factor
We found the factors 7221,4047 . The biggest common factor number is the GCF number.
So the greatest common factor 7221,4047 is 3.
Lets's calculate LCM of 342,1079
Given numbers has no common factors except 1. So, there LCM is their product i.e 369018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/369018
Therefore, the GCF of Fractions 7221/342,4047/1079 is 3/369018
Least Common Multiple of 342,1079 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 342,1079 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,1079) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(342,1079) x common factors =1 x 1 = 1
LCM(342,1079) = ( 342 × 1079 ) / 1
LCM(342,1079) = 369018 / 1
LCM(342,1079) = 369018
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FAQs on GCF of Fractions of 7221/342, 4047/1079
1. What is the HCF of 7221,4047?
The HCF of 7221,4047 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 7221/342, 4047/1079?
Answer: GCF of Numerators as per given numbers 7221/342, 4047/1079 is
GCF of Numerators i.e. for 7221,4047 is 3
LCM of denominators i.e. for 342,1079 is 369018.
Thus, GCF of Fractions is 3/369018.Finally, GCF of Fractions for 7221/342, 4047/1079 is 3/369018.