GCF of 7414/518, 5747/3856
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7414/518, 5747/3856 i.e 1/998704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7414/518, 5747/3856.
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 7414/518,5747/3856?
Given fractions are 7414/518,5747/3856
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 7414/518,5747/3856, numerators are 7414,5747
Denominators are 518,3856
The GCF of 7414,5747 is 1 .
LCM of 518,3856 is 998704.
The greatest common factor of 7414/518,5747/3856 = [GCF of 7414,5747]/[LCM of 518,3856]= 1/998704
Therefore, the GCF of 7414/518,5747/3856 is 1/998704.
To find the highest common factor of 7414,5747, we have to find the factors of both numbers and list the highest common factor.
The factors of 7414 are 1, 2, 11, 22, 337, 674, 3707, 7414
The factors of 5747 are 1, 7, 821, 5747
The HCF of 7414,5747 is 1.
Lets's calculate GCF of 7414,5747
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7414,5747 By Matching Biggest Common Factor Method
Now, list down the factors of 7414
:1,2,11,22,337,674,3707,7414
Now, list down the factors of 5747
:1,7,821,5747
Greatest Common Factor
We found the factors 7414,5747 . The biggest common factor number is the GCF number.
So the greatest common factor 7414,5747 is 1.
Lets's calculate LCM of 518,3856
| 2 | 518, 3856 |
| 259, 1928 |
∴ So the LCM of the given numbers is 2 x 259 x 1928 = 998704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/998704
Therefore, the GCF of Fractions 7414/518,5747/3856 is 1/998704
Least Common Multiple of 518,3856 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 518,3856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,3856) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(518,3856) x common factors =2 x 1 = 2
LCM(518,3856) = ( 518 × 3856 ) / 2
LCM(518,3856) = 1997408 / 2
LCM(518,3856) = 998704
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FAQs on GCF of Fractions of 7414/518, 5747/3856
1. What is the HCF of 7414,5747?
The HCF of 7414,5747 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 7414/518, 5747/3856?
Answer: GCF of Numerators as per given numbers 7414/518, 5747/3856 is
GCF of Numerators i.e. for 7414,5747 is 1
LCM of denominators i.e. for 518,3856 is 998704.
Thus, GCF of Fractions is 1/998704.Finally, GCF of Fractions for 7414/518, 5747/3856 is 1/998704.