GCF of 4108/893, 9269/235
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4108/893, 9269/235 i.e 13/4465 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4108/893, 9269/235.
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 4108/893,9269/235?
Given fractions are 4108/893,9269/235
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 4108/893,9269/235, numerators are 4108,9269
Denominators are 893,235
The GCF of 4108,9269 is 13 .
LCM of 893,235 is 4465.
The greatest common factor of 4108/893,9269/235 = [GCF of 4108,9269]/[LCM of 893,235]= 13/4465
Therefore, the GCF of 4108/893,9269/235 is 13/4465.
To find the highest common factor of 4108,9269, we have to find the factors of both numbers and list the highest common factor.
The factors of 4108 are 1, 2, 4, 13, 26, 52, 79, 158, 316, 1027, 2054, 4108
The factors of 9269 are 1, 13, 23, 31, 299, 403, 713, 9269
The HCF of 4108,9269 is 13.
Lets's calculate GCF of 4108,9269
| 13 | 4108, 9269 |
| 316, 713 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 4108,9269 By Matching Biggest Common Factor Method
Now, list down the factors of 4108
:1,2,4,13,26,52,79,158,316,1027,2054,4108
Now, list down the factors of 9269
:1,13,23,31,299,403,713,9269
Greatest Common Factor
We found the factors 4108,9269 . The biggest common factor number is the GCF number.
So the greatest common factor 4108,9269 is 13.
Lets's calculate LCM of 893,235
| 47 | 893, 235 |
| 19, 5 |
∴ So the LCM of the given numbers is 47 x 19 x 5 = 4465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/4465
Therefore, the GCF of Fractions 4108/893,9269/235 is 13/4465
Least Common Multiple of 893,235 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 893,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(893,235) = 47
common factors(in case of two or more numbers have common factors) = 1
GCF(893,235) x common factors =47 x 1 = 47
LCM(893,235) = ( 893 × 235 ) / 47
LCM(893,235) = 209855 / 47
LCM(893,235) = 4465
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FAQs on GCF of Fractions of 4108/893, 9269/235
1. What is the HCF of 4108,9269?
The HCF of 4108,9269 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 4108/893, 9269/235?
Answer: GCF of Numerators as per given numbers 4108/893, 9269/235 is
GCF of Numerators i.e. for 4108,9269 is 13
LCM of denominators i.e. for 893,235 is 4465.
Thus, GCF of Fractions is 13/4465.Finally, GCF of Fractions for 4108/893, 9269/235 is 13/4465.