GCF of 4259/818, 9424/7194
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4259/818, 9424/7194 i.e 1/2942346 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4259/818, 9424/7194.
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 4259/818,9424/7194?
Given fractions are 4259/818,9424/7194
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 4259/818,9424/7194, numerators are 4259,9424
Denominators are 818,7194
The GCF of 4259,9424 is 1 .
LCM of 818,7194 is 2942346.
The greatest common factor of 4259/818,9424/7194 = [GCF of 4259,9424]/[LCM of 818,7194]= 1/2942346
Therefore, the GCF of 4259/818,9424/7194 is 1/2942346.
To find the highest common factor of 4259,9424, we have to find the factors of both numbers and list the highest common factor.
The factors of 4259 are 1, 4259
The factors of 9424 are 1, 2, 4, 8, 16, 19, 31, 38, 62, 76, 124, 152, 248, 304, 496, 589, 1178, 2356, 4712, 9424
The HCF of 4259,9424 is 1.
Lets's calculate GCF of 4259,9424
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4259,9424 By Matching Biggest Common Factor Method
Now, list down the factors of 4259
:1,4259
Now, list down the factors of 9424
:1,2,4,8,16,19,31,38,62,76,124,152,248,304,496,589,1178,2356,4712,9424
Greatest Common Factor
We found the factors 4259,9424 . The biggest common factor number is the GCF number.
So the greatest common factor 4259,9424 is 1.
Lets's calculate LCM of 818,7194
| 2 | 818, 7194 |
| 409, 3597 |
∴ So the LCM of the given numbers is 2 x 409 x 3597 = 2942346
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2942346
Therefore, the GCF of Fractions 4259/818,9424/7194 is 1/2942346
Least Common Multiple of 818,7194 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 818,7194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,7194) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(818,7194) x common factors =2 x 1 = 2
LCM(818,7194) = ( 818 × 7194 ) / 2
LCM(818,7194) = 5884692 / 2
LCM(818,7194) = 2942346
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FAQs on GCF of Fractions of 4259/818, 9424/7194
1. What is the HCF of 4259,9424?
The HCF of 4259,9424 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 4259/818, 9424/7194?
Answer: GCF of Numerators as per given numbers 4259/818, 9424/7194 is
GCF of Numerators i.e. for 4259,9424 is 1
LCM of denominators i.e. for 818,7194 is 2942346.
Thus, GCF of Fractions is 1/2942346.Finally, GCF of Fractions for 4259/818, 9424/7194 is 1/2942346.