GCF of 2030/748, 5464/5576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2030/748, 5464/5576 i.e 2/61336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2030/748, 5464/5576.
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 2030/748,5464/5576?
Given fractions are 2030/748,5464/5576
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 2030/748,5464/5576, numerators are 2030,5464
Denominators are 748,5576
The GCF of 2030,5464 is 2 .
LCM of 748,5576 is 61336.
The greatest common factor of 2030/748,5464/5576 = [GCF of 2030,5464]/[LCM of 748,5576]= 2/61336
Therefore, the GCF of 2030/748,5464/5576 is 2/61336.
To find the highest common factor of 2030,5464, we have to find the factors of both numbers and list the highest common factor.
The factors of 2030 are 1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015, 2030
The factors of 5464 are 1, 2, 4, 8, 683, 1366, 2732, 5464
The HCF of 2030,5464 is 2.
Lets's calculate GCF of 2030,5464
| 2 | 2030, 5464 |
| 1015, 2732 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2030,5464 By Matching Biggest Common Factor Method
Now, list down the factors of 2030
:1,2,5,7,10,14,29,35,58,70,145,203,290,406,1015,2030
Now, list down the factors of 5464
:1,2,4,8,683,1366,2732,5464
Greatest Common Factor
We found the factors 2030,5464 . The biggest common factor number is the GCF number.
So the greatest common factor 2030,5464 is 2.
Lets's calculate LCM of 748,5576
| 2 | 748, 5576 |
| 2 | 374, 2788 |
| 17 | 187, 1394 |
| 11, 82 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 11 x 82 = 61336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/61336
Therefore, the GCF of Fractions 2030/748,5464/5576 is 2/61336
Least Common Multiple of 748,5576 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 748,5576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,5576) = 68
common factors(in case of two or more numbers have common factors) = 1
GCF(748,5576) x common factors =68 x 1 = 68
LCM(748,5576) = ( 748 × 5576 ) / 68
LCM(748,5576) = 4170848 / 68
LCM(748,5576) = 61336
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FAQs on GCF of Fractions of 2030/748, 5464/5576
1. What is the HCF of 2030,5464?
The HCF of 2030,5464 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 2030/748, 5464/5576?
Answer: GCF of Numerators as per given numbers 2030/748, 5464/5576 is
GCF of Numerators i.e. for 2030,5464 is 2
LCM of denominators i.e. for 748,5576 is 61336.
Thus, GCF of Fractions is 2/61336.Finally, GCF of Fractions for 2030/748, 5464/5576 is 2/61336.