GCF of 7241/267, 7878/5177
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7241/267, 7878/5177 i.e 13/1382259 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7241/267, 7878/5177.
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 7241/267,7878/5177?
Given fractions are 7241/267,7878/5177
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 7241/267,7878/5177, numerators are 7241,7878
Denominators are 267,5177
The GCF of 7241,7878 is 13 .
LCM of 267,5177 is 1382259.
The greatest common factor of 7241/267,7878/5177 = [GCF of 7241,7878]/[LCM of 267,5177]= 13/1382259
Therefore, the GCF of 7241/267,7878/5177 is 13/1382259.
To find the highest common factor of 7241,7878, we have to find the factors of both numbers and list the highest common factor.
The factors of 7241 are 1, 13, 557, 7241
The factors of 7878 are 1, 2, 3, 6, 13, 26, 39, 78, 101, 202, 303, 606, 1313, 2626, 3939, 7878
The HCF of 7241,7878 is 13.
Lets's calculate GCF of 7241,7878
| 13 | 7241, 7878 |
| 557, 606 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 7241,7878 By Matching Biggest Common Factor Method
Now, list down the factors of 7241
:1,13,557,7241
Now, list down the factors of 7878
:1,2,3,6,13,26,39,78,101,202,303,606,1313,2626,3939,7878
Greatest Common Factor
We found the factors 7241,7878 . The biggest common factor number is the GCF number.
So the greatest common factor 7241,7878 is 13.
Lets's calculate LCM of 267,5177
Given numbers has no common factors except 1. So, there LCM is their product i.e 1382259
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1382259
Therefore, the GCF of Fractions 7241/267,7878/5177 is 13/1382259
Least Common Multiple of 267,5177 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 267,5177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,5177) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(267,5177) x common factors =1 x 1 = 1
LCM(267,5177) = ( 267 × 5177 ) / 1
LCM(267,5177) = 1382259 / 1
LCM(267,5177) = 1382259
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FAQs on GCF of Fractions of 7241/267, 7878/5177
1. What is the HCF of 7241,7878?
The HCF of 7241,7878 is 13
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 7241/267, 7878/5177?
Answer: GCF of Numerators as per given numbers 7241/267, 7878/5177 is
GCF of Numerators i.e. for 7241,7878 is 13
LCM of denominators i.e. for 267,5177 is 1382259.
Thus, GCF of Fractions is 13/1382259.Finally, GCF of Fractions for 7241/267, 7878/5177 is 13/1382259.