GCF of 9146/723, 4692/8376
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9146/723, 4692/8376 i.e 34/2018616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9146/723, 4692/8376.
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 9146/723,4692/8376?
Given fractions are 9146/723,4692/8376
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 9146/723,4692/8376, numerators are 9146,4692
Denominators are 723,8376
The GCF of 9146,4692 is 34 .
LCM of 723,8376 is 2018616.
The greatest common factor of 9146/723,4692/8376 = [GCF of 9146,4692]/[LCM of 723,8376]= 34/2018616
Therefore, the GCF of 9146/723,4692/8376 is 34/2018616.
To find the highest common factor of 9146,4692, we have to find the factors of both numbers and list the highest common factor.
The factors of 9146 are 1, 2, 17, 34, 269, 538, 4573, 9146
The factors of 4692 are 1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 391, 782, 1173, 1564, 2346, 4692
The HCF of 9146,4692 is 34.
Lets's calculate GCF of 9146,4692
| 2 | 9146, 4692 |
| 17 | 4573, 2346 |
| 269, 138 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 9146,4692 By Matching Biggest Common Factor Method
Now, list down the factors of 9146
:1,2,17,34,269,538,4573,9146
Now, list down the factors of 4692
:1,2,3,4,6,12,17,23,34,46,51,68,69,92,102,138,204,276,391,782,1173,1564,2346,4692
Greatest Common Factor
We found the factors 9146,4692 . The biggest common factor number is the GCF number.
So the greatest common factor 9146,4692 is 34.
Lets's calculate LCM of 723,8376
| 3 | 723, 8376 |
| 241, 2792 |
∴ So the LCM of the given numbers is 3 x 241 x 2792 = 2018616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/2018616
Therefore, the GCF of Fractions 9146/723,4692/8376 is 34/2018616
Least Common Multiple of 723,8376 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 723,8376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,8376) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(723,8376) x common factors =3 x 1 = 3
LCM(723,8376) = ( 723 × 8376 ) / 3
LCM(723,8376) = 6055848 / 3
LCM(723,8376) = 2018616
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FAQs on GCF of Fractions of 9146/723, 4692/8376
1. What is the HCF of 9146,4692?
The HCF of 9146,4692 is 34
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 9146/723, 4692/8376?
Answer: GCF of Numerators as per given numbers 9146/723, 4692/8376 is
GCF of Numerators i.e. for 9146,4692 is 34
LCM of denominators i.e. for 723,8376 is 2018616.
Thus, GCF of Fractions is 34/2018616.Finally, GCF of Fractions for 9146/723, 4692/8376 is 34/2018616.