GCF of 4339/940, 3348/605
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4339/940, 3348/605 i.e 1/113740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4339/940, 3348/605.
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 4339/940,3348/605?
Given fractions are 4339/940,3348/605
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 4339/940,3348/605, numerators are 4339,3348
Denominators are 940,605
The GCF of 4339,3348 is 1 .
LCM of 940,605 is 113740.
The greatest common factor of 4339/940,3348/605 = [GCF of 4339,3348]/[LCM of 940,605]= 1/113740
Therefore, the GCF of 4339/940,3348/605 is 1/113740.
To find the highest common factor of 4339,3348, we have to find the factors of both numbers and list the highest common factor.
The factors of 4339 are 1, 4339
The factors of 3348 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 124, 186, 279, 372, 558, 837, 1116, 1674, 3348
The HCF of 4339,3348 is 1.
Lets's calculate GCF of 4339,3348
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4339,3348 By Matching Biggest Common Factor Method
Now, list down the factors of 4339
:1,4339
Now, list down the factors of 3348
:1,2,3,4,6,9,12,18,27,31,36,54,62,93,108,124,186,279,372,558,837,1116,1674,3348
Greatest Common Factor
We found the factors 4339,3348 . The biggest common factor number is the GCF number.
So the greatest common factor 4339,3348 is 1.
Lets's calculate LCM of 940,605
| 5 | 940, 605 |
| 188, 121 |
∴ So the LCM of the given numbers is 5 x 188 x 121 = 113740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113740
Therefore, the GCF of Fractions 4339/940,3348/605 is 1/113740
Least Common Multiple of 940,605 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 940,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(940,605) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(940,605) x common factors =5 x 1 = 5
LCM(940,605) = ( 940 × 605 ) / 5
LCM(940,605) = 568700 / 5
LCM(940,605) = 113740
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FAQs on GCF of Fractions of 4339/940, 3348/605
1. What is the HCF of 4339,3348?
The HCF of 4339,3348 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 4339/940, 3348/605?
Answer: GCF of Numerators as per given numbers 4339/940, 3348/605 is
GCF of Numerators i.e. for 4339,3348 is 1
LCM of denominators i.e. for 940,605 is 113740.
Thus, GCF of Fractions is 1/113740.Finally, GCF of Fractions for 4339/940, 3348/605 is 1/113740.