GCF of 7286/138, 3361/256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7286/138, 3361/256 i.e 1/17664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7286/138, 3361/256.
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 7286/138,3361/256?
Given fractions are 7286/138,3361/256
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 7286/138,3361/256, numerators are 7286,3361
Denominators are 138,256
The GCF of 7286,3361 is 1 .
LCM of 138,256 is 17664.
The greatest common factor of 7286/138,3361/256 = [GCF of 7286,3361]/[LCM of 138,256]= 1/17664
Therefore, the GCF of 7286/138,3361/256 is 1/17664.
To find the highest common factor of 7286,3361, we have to find the factors of both numbers and list the highest common factor.
The factors of 7286 are 1, 2, 3643, 7286
The factors of 3361 are 1, 3361
The HCF of 7286,3361 is 1.
Lets's calculate GCF of 7286,3361
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7286,3361 By Matching Biggest Common Factor Method
Now, list down the factors of 7286
:1,2,3643,7286
Now, list down the factors of 3361
:1,3361
Greatest Common Factor
We found the factors 7286,3361 . The biggest common factor number is the GCF number.
So the greatest common factor 7286,3361 is 1.
Lets's calculate LCM of 138,256
| 2 | 138, 256 |
| 69, 128 |
∴ So the LCM of the given numbers is 2 x 69 x 128 = 17664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17664
Therefore, the GCF of Fractions 7286/138,3361/256 is 1/17664
Least Common Multiple of 138,256 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 138,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,256) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(138,256) x common factors =2 x 1 = 2
LCM(138,256) = ( 138 × 256 ) / 2
LCM(138,256) = 35328 / 2
LCM(138,256) = 17664
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FAQs on GCF of Fractions of 7286/138, 3361/256
1. What is the HCF of 7286,3361?
The HCF of 7286,3361 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 7286/138, 3361/256?
Answer: GCF of Numerators as per given numbers 7286/138, 3361/256 is
GCF of Numerators i.e. for 7286,3361 is 1
LCM of denominators i.e. for 138,256 is 17664.
Thus, GCF of Fractions is 1/17664.Finally, GCF of Fractions for 7286/138, 3361/256 is 1/17664.