GCF of 7513/891, 7359/2258
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7513/891, 7359/2258 i.e 11/2011878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7513/891, 7359/2258.
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 7513/891,7359/2258?
Given fractions are 7513/891,7359/2258
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 7513/891,7359/2258, numerators are 7513,7359
Denominators are 891,2258
The GCF of 7513,7359 is 11 .
LCM of 891,2258 is 2011878.
The greatest common factor of 7513/891,7359/2258 = [GCF of 7513,7359]/[LCM of 891,2258]= 11/2011878
Therefore, the GCF of 7513/891,7359/2258 is 11/2011878.
To find the highest common factor of 7513,7359, we have to find the factors of both numbers and list the highest common factor.
The factors of 7513 are 1, 11, 683, 7513
The factors of 7359 are 1, 3, 11, 33, 223, 669, 2453, 7359
The HCF of 7513,7359 is 11.
Lets's calculate GCF of 7513,7359
| 11 | 7513, 7359 |
| 683, 669 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 7513,7359 By Matching Biggest Common Factor Method
Now, list down the factors of 7513
:1,11,683,7513
Now, list down the factors of 7359
:1,3,11,33,223,669,2453,7359
Greatest Common Factor
We found the factors 7513,7359 . The biggest common factor number is the GCF number.
So the greatest common factor 7513,7359 is 11.
Lets's calculate LCM of 891,2258
Given numbers has no common factors except 1. So, there LCM is their product i.e 2011878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2011878
Therefore, the GCF of Fractions 7513/891,7359/2258 is 11/2011878
Least Common Multiple of 891,2258 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 891,2258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(891,2258) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(891,2258) x common factors =1 x 1 = 1
LCM(891,2258) = ( 891 × 2258 ) / 1
LCM(891,2258) = 2011878 / 1
LCM(891,2258) = 2011878
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FAQs on GCF of Fractions of 7513/891, 7359/2258
1. What is the HCF of 7513,7359?
The HCF of 7513,7359 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 7513/891, 7359/2258?
Answer: GCF of Numerators as per given numbers 7513/891, 7359/2258 is
GCF of Numerators i.e. for 7513,7359 is 11
LCM of denominators i.e. for 891,2258 is 2011878.
Thus, GCF of Fractions is 11/2011878.Finally, GCF of Fractions for 7513/891, 7359/2258 is 11/2011878.