GCF of 7843/315, 8848/7893
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7843/315, 8848/7893 i.e 1/276255 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7843/315, 8848/7893.
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 7843/315,8848/7893?
Given fractions are 7843/315,8848/7893
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 7843/315,8848/7893, numerators are 7843,8848
Denominators are 315,7893
The GCF of 7843,8848 is 1 .
LCM of 315,7893 is 276255.
The greatest common factor of 7843/315,8848/7893 = [GCF of 7843,8848]/[LCM of 315,7893]= 1/276255
Therefore, the GCF of 7843/315,8848/7893 is 1/276255.
To find the highest common factor of 7843,8848, we have to find the factors of both numbers and list the highest common factor.
The factors of 7843 are 1, 11, 23, 31, 253, 341, 713, 7843
The factors of 8848 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 79, 112, 158, 316, 553, 632, 1106, 1264, 2212, 4424, 8848
The HCF of 7843,8848 is 1.
Lets's calculate GCF of 7843,8848
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7843,8848 By Matching Biggest Common Factor Method
Now, list down the factors of 7843
:1,11,23,31,253,341,713,7843
Now, list down the factors of 8848
:1,2,4,7,8,14,16,28,56,79,112,158,316,553,632,1106,1264,2212,4424,8848
Greatest Common Factor
We found the factors 7843,8848 . The biggest common factor number is the GCF number.
So the greatest common factor 7843,8848 is 1.
Lets's calculate LCM of 315,7893
| 3 | 315, 7893 |
| 3 | 105, 2631 |
| 35, 877 |
∴ So the LCM of the given numbers is 3 x 3 x 35 x 877 = 276255
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/276255
Therefore, the GCF of Fractions 7843/315,8848/7893 is 1/276255
Least Common Multiple of 315,7893 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 315,7893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,7893) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(315,7893) x common factors =9 x 1 = 9
LCM(315,7893) = ( 315 × 7893 ) / 9
LCM(315,7893) = 2486295 / 9
LCM(315,7893) = 276255
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FAQs on GCF of Fractions of 7843/315, 8848/7893
1. What is the HCF of 7843,8848?
The HCF of 7843,8848 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 7843/315, 8848/7893?
Answer: GCF of Numerators as per given numbers 7843/315, 8848/7893 is
GCF of Numerators i.e. for 7843,8848 is 1
LCM of denominators i.e. for 315,7893 is 276255.
Thus, GCF of Fractions is 1/276255.Finally, GCF of Fractions for 7843/315, 8848/7893 is 1/276255.