GCF of 7213/605, 2349/1573
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7213/605, 2349/1573 i.e 1/7865 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7213/605, 2349/1573.
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 7213/605,2349/1573?
Given fractions are 7213/605,2349/1573
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 7213/605,2349/1573, numerators are 7213,2349
Denominators are 605,1573
The GCF of 7213,2349 is 1 .
LCM of 605,1573 is 7865.
The greatest common factor of 7213/605,2349/1573 = [GCF of 7213,2349]/[LCM of 605,1573]= 1/7865
Therefore, the GCF of 7213/605,2349/1573 is 1/7865.
To find the highest common factor of 7213,2349, we have to find the factors of both numbers and list the highest common factor.
The factors of 7213 are 1, 7213
The factors of 2349 are 1, 3, 9, 27, 29, 81, 87, 261, 783, 2349
The HCF of 7213,2349 is 1.
Lets's calculate GCF of 7213,2349
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7213,2349 By Matching Biggest Common Factor Method
Now, list down the factors of 7213
:1,7213
Now, list down the factors of 2349
:1,3,9,27,29,81,87,261,783,2349
Greatest Common Factor
We found the factors 7213,2349 . The biggest common factor number is the GCF number.
So the greatest common factor 7213,2349 is 1.
Lets's calculate LCM of 605,1573
| 11 | 605, 1573 |
| 11 | 55, 143 |
| 5, 13 |
∴ So the LCM of the given numbers is 11 x 11 x 5 x 13 = 7865
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7865
Therefore, the GCF of Fractions 7213/605,2349/1573 is 1/7865
Least Common Multiple of 605,1573 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 605,1573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,1573) = 121
common factors(in case of two or more numbers have common factors) = 1
GCF(605,1573) x common factors =121 x 1 = 121
LCM(605,1573) = ( 605 × 1573 ) / 121
LCM(605,1573) = 951665 / 121
LCM(605,1573) = 7865
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FAQs on GCF of Fractions of 7213/605, 2349/1573
1. What is the HCF of 7213,2349?
The HCF of 7213,2349 is 1
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 7213/605, 2349/1573?
Answer: GCF of Numerators as per given numbers 7213/605, 2349/1573 is
GCF of Numerators i.e. for 7213,2349 is 1
LCM of denominators i.e. for 605,1573 is 7865.
Thus, GCF of Fractions is 1/7865.Finally, GCF of Fractions for 7213/605, 2349/1573 is 1/7865.