GCF of 5608/338, 1331/2304
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5608/338, 1331/2304 i.e 1/389376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5608/338, 1331/2304.
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 5608/338,1331/2304?
Given fractions are 5608/338,1331/2304
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 5608/338,1331/2304, numerators are 5608,1331
Denominators are 338,2304
The GCF of 5608,1331 is 1 .
LCM of 338,2304 is 389376.
The greatest common factor of 5608/338,1331/2304 = [GCF of 5608,1331]/[LCM of 338,2304]= 1/389376
Therefore, the GCF of 5608/338,1331/2304 is 1/389376.
To find the highest common factor of 5608,1331, we have to find the factors of both numbers and list the highest common factor.
The factors of 5608 are 1, 2, 4, 8, 701, 1402, 2804, 5608
The factors of 1331 are 1, 11, 121, 1331
The HCF of 5608,1331 is 1.
Lets's calculate GCF of 5608,1331
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5608,1331 By Matching Biggest Common Factor Method
Now, list down the factors of 5608
:1,2,4,8,701,1402,2804,5608
Now, list down the factors of 1331
:1,11,121,1331
Greatest Common Factor
We found the factors 5608,1331 . The biggest common factor number is the GCF number.
So the greatest common factor 5608,1331 is 1.
Lets's calculate LCM of 338,2304
| 2 | 338, 2304 |
| 169, 1152 |
∴ So the LCM of the given numbers is 2 x 169 x 1152 = 389376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/389376
Therefore, the GCF of Fractions 5608/338,1331/2304 is 1/389376
Least Common Multiple of 338,2304 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 338,2304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,2304) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(338,2304) x common factors =2 x 1 = 2
LCM(338,2304) = ( 338 × 2304 ) / 2
LCM(338,2304) = 778752 / 2
LCM(338,2304) = 389376
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FAQs on GCF of Fractions of 5608/338, 1331/2304
1. What is the HCF of 5608,1331?
The HCF of 5608,1331 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 5608/338, 1331/2304?
Answer: GCF of Numerators as per given numbers 5608/338, 1331/2304 is
GCF of Numerators i.e. for 5608,1331 is 1
LCM of denominators i.e. for 338,2304 is 389376.
Thus, GCF of Fractions is 1/389376.Finally, GCF of Fractions for 5608/338, 1331/2304 is 1/389376.