GCF of 5457/256, 6545/2349
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5457/256, 6545/2349 i.e 17/601344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5457/256, 6545/2349.
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 5457/256,6545/2349?
Given fractions are 5457/256,6545/2349
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 5457/256,6545/2349, numerators are 5457,6545
Denominators are 256,2349
The GCF of 5457,6545 is 17 .
LCM of 256,2349 is 601344.
The greatest common factor of 5457/256,6545/2349 = [GCF of 5457,6545]/[LCM of 256,2349]= 17/601344
Therefore, the GCF of 5457/256,6545/2349 is 17/601344.
To find the highest common factor of 5457,6545, we have to find the factors of both numbers and list the highest common factor.
The factors of 5457 are 1, 3, 17, 51, 107, 321, 1819, 5457
The factors of 6545 are 1, 5, 7, 11, 17, 35, 55, 77, 85, 119, 187, 385, 595, 935, 1309, 6545
The HCF of 5457,6545 is 17.
Lets's calculate GCF of 5457,6545
| 17 | 5457, 6545 |
| 321, 385 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 5457,6545 By Matching Biggest Common Factor Method
Now, list down the factors of 5457
:1,3,17,51,107,321,1819,5457
Now, list down the factors of 6545
:1,5,7,11,17,35,55,77,85,119,187,385,595,935,1309,6545
Greatest Common Factor
We found the factors 5457,6545 . The biggest common factor number is the GCF number.
So the greatest common factor 5457,6545 is 17.
Lets's calculate LCM of 256,2349
Given numbers has no common factors except 1. So, there LCM is their product i.e 601344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/601344
Therefore, the GCF of Fractions 5457/256,6545/2349 is 17/601344
Least Common Multiple of 256,2349 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 256,2349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,2349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(256,2349) x common factors =1 x 1 = 1
LCM(256,2349) = ( 256 × 2349 ) / 1
LCM(256,2349) = 601344 / 1
LCM(256,2349) = 601344
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FAQs on GCF of Fractions of 5457/256, 6545/2349
1. What is the HCF of 5457,6545?
The HCF of 5457,6545 is 17
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 5457/256, 6545/2349?
Answer: GCF of Numerators as per given numbers 5457/256, 6545/2349 is
GCF of Numerators i.e. for 5457,6545 is 17
LCM of denominators i.e. for 256,2349 is 601344.
Thus, GCF of Fractions is 17/601344.Finally, GCF of Fractions for 5457/256, 6545/2349 is 17/601344.