GCF of 7866/730, 7241/361
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7866/730, 7241/361 i.e 1/263530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7866/730, 7241/361.
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 7866/730,7241/361?
Given fractions are 7866/730,7241/361
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 7866/730,7241/361, numerators are 7866,7241
Denominators are 730,361
The GCF of 7866,7241 is 1 .
LCM of 730,361 is 263530.
The greatest common factor of 7866/730,7241/361 = [GCF of 7866,7241]/[LCM of 730,361]= 1/263530
Therefore, the GCF of 7866/730,7241/361 is 1/263530.
To find the highest common factor of 7866,7241, we have to find the factors of both numbers and list the highest common factor.
The factors of 7866 are 1, 2, 3, 6, 9, 18, 19, 23, 38, 46, 57, 69, 114, 138, 171, 207, 342, 414, 437, 874, 1311, 2622, 3933, 7866
The factors of 7241 are 1, 13, 557, 7241
The HCF of 7866,7241 is 1.
Lets's calculate GCF of 7866,7241
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7866,7241 By Matching Biggest Common Factor Method
Now, list down the factors of 7866
:1,2,3,6,9,18,19,23,38,46,57,69,114,138,171,207,342,414,437,874,1311,2622,3933,7866
Now, list down the factors of 7241
:1,13,557,7241
Greatest Common Factor
We found the factors 7866,7241 . The biggest common factor number is the GCF number.
So the greatest common factor 7866,7241 is 1.
Lets's calculate LCM of 730,361
Given numbers has no common factors except 1. So, there LCM is their product i.e 263530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/263530
Therefore, the GCF of Fractions 7866/730,7241/361 is 1/263530
Least Common Multiple of 730,361 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 730,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(730,361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(730,361) x common factors =1 x 1 = 1
LCM(730,361) = ( 730 × 361 ) / 1
LCM(730,361) = 263530 / 1
LCM(730,361) = 263530
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FAQs on GCF of Fractions of 7866/730, 7241/361
1. What is the HCF of 7866,7241?
The HCF of 7866,7241 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 7866/730, 7241/361?
Answer: GCF of Numerators as per given numbers 7866/730, 7241/361 is
GCF of Numerators i.e. for 7866,7241 is 1
LCM of denominators i.e. for 730,361 is 263530.
Thus, GCF of Fractions is 1/263530.Finally, GCF of Fractions for 7866/730, 7241/361 is 1/263530.