GCF of 2261/890, 5421/5728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2261/890, 5421/5728 i.e 1/2548960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2261/890, 5421/5728.
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 2261/890,5421/5728?
Given fractions are 2261/890,5421/5728
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 2261/890,5421/5728, numerators are 2261,5421
Denominators are 890,5728
The GCF of 2261,5421 is 1 .
LCM of 890,5728 is 2548960.
The greatest common factor of 2261/890,5421/5728 = [GCF of 2261,5421]/[LCM of 890,5728]= 1/2548960
Therefore, the GCF of 2261/890,5421/5728 is 1/2548960.
To find the highest common factor of 2261,5421, we have to find the factors of both numbers and list the highest common factor.
The factors of 2261 are 1, 7, 17, 19, 119, 133, 323, 2261
The factors of 5421 are 1, 3, 13, 39, 139, 417, 1807, 5421
The HCF of 2261,5421 is 1.
Lets's calculate GCF of 2261,5421
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2261,5421 By Matching Biggest Common Factor Method
Now, list down the factors of 2261
:1,7,17,19,119,133,323,2261
Now, list down the factors of 5421
:1,3,13,39,139,417,1807,5421
Greatest Common Factor
We found the factors 2261,5421 . The biggest common factor number is the GCF number.
So the greatest common factor 2261,5421 is 1.
Lets's calculate LCM of 890,5728
| 2 | 890, 5728 |
| 445, 2864 |
∴ So the LCM of the given numbers is 2 x 445 x 2864 = 2548960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2548960
Therefore, the GCF of Fractions 2261/890,5421/5728 is 1/2548960
Least Common Multiple of 890,5728 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 890,5728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,5728) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(890,5728) x common factors =2 x 1 = 2
LCM(890,5728) = ( 890 × 5728 ) / 2
LCM(890,5728) = 5097920 / 2
LCM(890,5728) = 2548960
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2261/890, 5421/5728
1. What is the HCF of 2261,5421?
The HCF of 2261,5421 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 2261/890, 5421/5728?
Answer: GCF of Numerators as per given numbers 2261/890, 5421/5728 is
GCF of Numerators i.e. for 2261,5421 is 1
LCM of denominators i.e. for 890,5728 is 2548960.
Thus, GCF of Fractions is 1/2548960.Finally, GCF of Fractions for 2261/890, 5421/5728 is 1/2548960.