GCF of 5743/345, 6344/260
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5743/345, 6344/260 i.e 1/17940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5743/345, 6344/260.
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 5743/345,6344/260?
Given fractions are 5743/345,6344/260
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 5743/345,6344/260, numerators are 5743,6344
Denominators are 345,260
The GCF of 5743,6344 is 1 .
LCM of 345,260 is 17940.
The greatest common factor of 5743/345,6344/260 = [GCF of 5743,6344]/[LCM of 345,260]= 1/17940
Therefore, the GCF of 5743/345,6344/260 is 1/17940.
To find the highest common factor of 5743,6344, we have to find the factors of both numbers and list the highest common factor.
The factors of 5743 are 1, 5743
The factors of 6344 are 1, 2, 4, 8, 13, 26, 52, 61, 104, 122, 244, 488, 793, 1586, 3172, 6344
The HCF of 5743,6344 is 1.
Lets's calculate GCF of 5743,6344
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5743,6344 By Matching Biggest Common Factor Method
Now, list down the factors of 5743
:1,5743
Now, list down the factors of 6344
:1,2,4,8,13,26,52,61,104,122,244,488,793,1586,3172,6344
Greatest Common Factor
We found the factors 5743,6344 . The biggest common factor number is the GCF number.
So the greatest common factor 5743,6344 is 1.
Lets's calculate LCM of 345,260
| 5 | 345, 260 |
| 69, 52 |
∴ So the LCM of the given numbers is 5 x 69 x 52 = 17940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17940
Therefore, the GCF of Fractions 5743/345,6344/260 is 1/17940
Least Common Multiple of 345,260 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 345,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,260) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(345,260) x common factors =5 x 1 = 5
LCM(345,260) = ( 345 × 260 ) / 5
LCM(345,260) = 89700 / 5
LCM(345,260) = 17940
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FAQs on GCF of Fractions of 5743/345, 6344/260
1. What is the HCF of 5743,6344?
The HCF of 5743,6344 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 5743/345, 6344/260?
Answer: GCF of Numerators as per given numbers 5743/345, 6344/260 is
GCF of Numerators i.e. for 5743,6344 is 1
LCM of denominators i.e. for 345,260 is 17940.
Thus, GCF of Fractions is 1/17940.Finally, GCF of Fractions for 5743/345, 6344/260 is 1/17940.