GCF of 4745/206, 9386/2516
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4745/206, 9386/2516 i.e 13/259148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4745/206, 9386/2516.
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 4745/206,9386/2516?
Given fractions are 4745/206,9386/2516
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 4745/206,9386/2516, numerators are 4745,9386
Denominators are 206,2516
The GCF of 4745,9386 is 13 .
LCM of 206,2516 is 259148.
The greatest common factor of 4745/206,9386/2516 = [GCF of 4745,9386]/[LCM of 206,2516]= 13/259148
Therefore, the GCF of 4745/206,9386/2516 is 13/259148.
To find the highest common factor of 4745,9386, we have to find the factors of both numbers and list the highest common factor.
The factors of 4745 are 1, 5, 13, 65, 73, 365, 949, 4745
The factors of 9386 are 1, 2, 13, 19, 26, 38, 247, 361, 494, 722, 4693, 9386
The HCF of 4745,9386 is 13.
Lets's calculate GCF of 4745,9386
| 13 | 4745, 9386 |
| 365, 722 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 4745,9386 By Matching Biggest Common Factor Method
Now, list down the factors of 4745
:1,5,13,65,73,365,949,4745
Now, list down the factors of 9386
:1,2,13,19,26,38,247,361,494,722,4693,9386
Greatest Common Factor
We found the factors 4745,9386 . The biggest common factor number is the GCF number.
So the greatest common factor 4745,9386 is 13.
Lets's calculate LCM of 206,2516
| 2 | 206, 2516 |
| 103, 1258 |
∴ So the LCM of the given numbers is 2 x 103 x 1258 = 259148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/259148
Therefore, the GCF of Fractions 4745/206,9386/2516 is 13/259148
Least Common Multiple of 206,2516 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 206,2516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,2516) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,2516) x common factors =2 x 1 = 2
LCM(206,2516) = ( 206 × 2516 ) / 2
LCM(206,2516) = 518296 / 2
LCM(206,2516) = 259148
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FAQs on GCF of Fractions of 4745/206, 9386/2516
1. What is the HCF of 4745,9386?
The HCF of 4745,9386 is 13
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 4745/206, 9386/2516?
Answer: GCF of Numerators as per given numbers 4745/206, 9386/2516 is
GCF of Numerators i.e. for 4745,9386 is 13
LCM of denominators i.e. for 206,2516 is 259148.
Thus, GCF of Fractions is 13/259148.Finally, GCF of Fractions for 4745/206, 9386/2516 is 13/259148.