GCF of 394/721, 4426/650
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 394/721, 4426/650 i.e 2/468650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 394/721, 4426/650.
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 394/721,4426/650?
Given fractions are 394/721,4426/650
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 394/721,4426/650, numerators are 394,4426
Denominators are 721,650
The GCF of 394,4426 is 2 .
LCM of 721,650 is 468650.
The greatest common factor of 394/721,4426/650 = [GCF of 394,4426]/[LCM of 721,650]= 2/468650
Therefore, the GCF of 394/721,4426/650 is 2/468650.
To find the highest common factor of 394,4426, 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 4426 are 1, 2, 2213, 4426
The HCF of 394,4426 is 2.
Lets's calculate GCF of 394,4426
| 2 | 394, 4426 |
| 197, 2213 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 394,4426 By Matching Biggest Common Factor Method
Now, list down the factors of 394
:1,2,197,394
Now, list down the factors of 4426
:1,2,2213,4426
Greatest Common Factor
We found the factors 394,4426 . The biggest common factor number is the GCF number.
So the greatest common factor 394,4426 is 2.
Lets's calculate LCM of 721,650
Given numbers has no common factors except 1. So, there LCM is their product i.e 468650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/468650
Therefore, the GCF of Fractions 394/721,4426/650 is 2/468650
Least Common Multiple of 721,650 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 721,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,650) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(721,650) x common factors =1 x 1 = 1
LCM(721,650) = ( 721 × 650 ) / 1
LCM(721,650) = 468650 / 1
LCM(721,650) = 468650
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 394/721, 4426/650
1. What is the HCF of 394,4426?
The HCF of 394,4426 is 2
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 394/721, 4426/650?
Answer: GCF of Numerators as per given numbers 394/721, 4426/650 is
GCF of Numerators i.e. for 394,4426 is 2
LCM of denominators i.e. for 721,650 is 468650.
Thus, GCF of Fractions is 2/468650.Finally, GCF of Fractions for 394/721, 4426/650 is 2/468650.