GCF of 7221/843, 1826/7165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7221/843, 1826/7165 i.e 83/6040095 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7221/843, 1826/7165.
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 7221/843,1826/7165?
Given fractions are 7221/843,1826/7165
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 7221/843,1826/7165, numerators are 7221,1826
Denominators are 843,7165
The GCF of 7221,1826 is 83 .
LCM of 843,7165 is 6040095.
The greatest common factor of 7221/843,1826/7165 = [GCF of 7221,1826]/[LCM of 843,7165]= 83/6040095
Therefore, the GCF of 7221/843,1826/7165 is 83/6040095.
To find the highest common factor of 7221,1826, 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 1826 are 1, 2, 11, 22, 83, 166, 913, 1826
The HCF of 7221,1826 is 83.
Lets's calculate GCF of 7221,1826
| 83 | 7221, 1826 |
| 87, 22 |
∴ So the GCF of the given numbers is 83 = 83
Greatest Common Factor of 7221,1826 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 1826
:1,2,11,22,83,166,913,1826
Greatest Common Factor
We found the factors 7221,1826 . The biggest common factor number is the GCF number.
So the greatest common factor 7221,1826 is 83.
Lets's calculate LCM of 843,7165
Given numbers has no common factors except 1. So, there LCM is their product i.e 6040095
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 83/6040095
Therefore, the GCF of Fractions 7221/843,1826/7165 is 83/6040095
Least Common Multiple of 843,7165 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 843,7165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,7165) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(843,7165) x common factors =1 x 1 = 1
LCM(843,7165) = ( 843 × 7165 ) / 1
LCM(843,7165) = 6040095 / 1
LCM(843,7165) = 6040095
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FAQs on GCF of Fractions of 7221/843, 1826/7165
1. What is the HCF of 7221,1826?
The HCF of 7221,1826 is 83
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 7221/843, 1826/7165?
Answer: GCF of Numerators as per given numbers 7221/843, 1826/7165 is
GCF of Numerators i.e. for 7221,1826 is 83
LCM of denominators i.e. for 843,7165 is 6040095.
Thus, GCF of Fractions is 83/6040095.Finally, GCF of Fractions for 7221/843, 1826/7165 is 83/6040095.