GCF of 404/394, 564/118
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 404/394, 564/118 i.e 4/23246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 404/394, 564/118.
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 404/394,564/118?
Given fractions are 404/394,564/118
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 404/394,564/118, numerators are 404,564
Denominators are 394,118
The GCF of 404,564 is 4 .
LCM of 394,118 is 23246.
The greatest common factor of 404/394,564/118 = [GCF of 404,564]/[LCM of 394,118]= 4/23246
Therefore, the GCF of 404/394,564/118 is 4/23246.
To find the highest common factor of 404,564, we have to find the factors of both numbers and list the highest common factor.
The factors of 404 are 1, 2, 4, 101, 202, 404
The factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
The HCF of 404,564 is 4.
Lets's calculate GCF of 404,564
| 2 | 404, 564 |
| 2 | 202, 282 |
| 101, 141 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 404,564 By Matching Biggest Common Factor Method
Now, list down the factors of 404
:1,2,4,101,202,404
Now, list down the factors of 564
:1,2,3,4,6,12,47,94,141,188,282,564
Greatest Common Factor
We found the factors 404,564 . The biggest common factor number is the GCF number.
So the greatest common factor 404,564 is 4.
Lets's calculate LCM of 394,118
| 2 | 394, 118 |
| 197, 59 |
∴ So the LCM of the given numbers is 2 x 197 x 59 = 23246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/23246
Therefore, the GCF of Fractions 404/394,564/118 is 4/23246
Least Common Multiple of 394,118 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 394,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,118) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(394,118) x common factors =2 x 1 = 2
LCM(394,118) = ( 394 × 118 ) / 2
LCM(394,118) = 46492 / 2
LCM(394,118) = 23246
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FAQs on GCF of Fractions of 404/394, 564/118
1. What is the HCF of 404,564?
The HCF of 404,564 is 4
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 404/394, 564/118?
Answer: GCF of Numerators as per given numbers 404/394, 564/118 is
GCF of Numerators i.e. for 404,564 is 4
LCM of denominators i.e. for 394,118 is 23246.
Thus, GCF of Fractions is 4/23246.Finally, GCF of Fractions for 404/394, 564/118 is 4/23246.