GCF of 393/41, 107/421
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 393/41, 107/421 i.e 1/17261 easily. The following is the detailed procedure to determine the greatest common factor of fractions 393/41, 107/421.
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 393/41,107/421?
Given fractions are 393/41,107/421
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 393/41,107/421, numerators are 393,107
Denominators are 41,421
The GCF of 393,107 is 1 .
LCM of 41,421 is 17261.
The greatest common factor of 393/41,107/421 = [GCF of 393,107]/[LCM of 41,421]= 1/17261
Therefore, the GCF of 393/41,107/421 is 1/17261.
To find the highest common factor of 393,107, we have to find the factors of both numbers and list the highest common factor.
The factors of 393 are 1, 3, 131, 393
The factors of 107 are 1, 107
The HCF of 393,107 is 1.
Lets's calculate GCF of 393,107
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 393,107 By Matching Biggest Common Factor Method
Now, list down the factors of 393
:1,3,131,393
Now, list down the factors of 107
:1,107
Greatest Common Factor
We found the factors 393,107 . The biggest common factor number is the GCF number.
So the greatest common factor 393,107 is 1.
Lets's calculate LCM of 41,421
Given numbers has no common factors except 1. So, there LCM is their product i.e 17261
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17261
Therefore, the GCF of Fractions 393/41,107/421 is 1/17261
Least Common Multiple of 41,421 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 41,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,421) x common factors =1 x 1 = 1
LCM(41,421) = ( 41 × 421 ) / 1
LCM(41,421) = 17261 / 1
LCM(41,421) = 17261
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 393/41, 107/421
1. What is the HCF of 393,107?
The HCF of 393,107 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 393/41, 107/421?
Answer: GCF of Numerators as per given numbers 393/41, 107/421 is
GCF of Numerators i.e. for 393,107 is 1
LCM of denominators i.e. for 41,421 is 17261.
Thus, GCF of Fractions is 1/17261.Finally, GCF of Fractions for 393/41, 107/421 is 1/17261.