GCF of 394/100, 5401/5120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 394/100, 5401/5120 i.e 1/25600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 394/100, 5401/5120.
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 394/100,5401/5120?
Given fractions are 394/100,5401/5120
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 394/100,5401/5120, numerators are 394,5401
Denominators are 100,5120
The GCF of 394,5401 is 1 .
LCM of 100,5120 is 25600.
The greatest common factor of 394/100,5401/5120 = [GCF of 394,5401]/[LCM of 100,5120]= 1/25600
Therefore, the GCF of 394/100,5401/5120 is 1/25600.
To find the highest common factor of 394,5401, we have to find the factors of both numbers and list the highest common factor.
The factors of 394 are 1, 2, 197, 394
The factors of 5401 are 1, 11, 491, 5401
The HCF of 394,5401 is 1.
Lets's calculate GCF of 394,5401
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 394,5401 By Matching Biggest Common Factor Method
Now, list down the factors of 394
:1,2,197,394
Now, list down the factors of 5401
:1,11,491,5401
Greatest Common Factor
We found the factors 394,5401 . The biggest common factor number is the GCF number.
So the greatest common factor 394,5401 is 1.
Lets's calculate LCM of 100,5120
| 2 | 100, 5120 |
| 2 | 50, 2560 |
| 5 | 25, 1280 |
| 5, 256 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 256 = 25600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25600
Therefore, the GCF of Fractions 394/100,5401/5120 is 1/25600
Least Common Multiple of 100,5120 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 100,5120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,5120) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(100,5120) x common factors =20 x 1 = 20
LCM(100,5120) = ( 100 × 5120 ) / 20
LCM(100,5120) = 512000 / 20
LCM(100,5120) = 25600
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FAQs on GCF of Fractions of 394/100, 5401/5120
1. What is the HCF of 394,5401?
The HCF of 394,5401 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 394/100, 5401/5120?
Answer: GCF of Numerators as per given numbers 394/100, 5401/5120 is
GCF of Numerators i.e. for 394,5401 is 1
LCM of denominators i.e. for 100,5120 is 25600.
Thus, GCF of Fractions is 1/25600.Finally, GCF of Fractions for 394/100, 5401/5120 is 1/25600.