GCF of 6304/275, 4744/145
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6304/275, 4744/145 i.e 8/7975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6304/275, 4744/145.
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 6304/275,4744/145?
Given fractions are 6304/275,4744/145
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 6304/275,4744/145, numerators are 6304,4744
Denominators are 275,145
The GCF of 6304,4744 is 8 .
LCM of 275,145 is 7975.
The greatest common factor of 6304/275,4744/145 = [GCF of 6304,4744]/[LCM of 275,145]= 8/7975
Therefore, the GCF of 6304/275,4744/145 is 8/7975.
To find the highest common factor of 6304,4744, we have to find the factors of both numbers and list the highest common factor.
The factors of 6304 are 1, 2, 4, 8, 16, 32, 197, 394, 788, 1576, 3152, 6304
The factors of 4744 are 1, 2, 4, 8, 593, 1186, 2372, 4744
The HCF of 6304,4744 is 8.
Lets's calculate GCF of 6304,4744
| 2 | 6304, 4744 |
| 2 | 3152, 2372 |
| 2 | 1576, 1186 |
| 788, 593 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 6304,4744 By Matching Biggest Common Factor Method
Now, list down the factors of 6304
:1,2,4,8,16,32,197,394,788,1576,3152,6304
Now, list down the factors of 4744
:1,2,4,8,593,1186,2372,4744
Greatest Common Factor
We found the factors 6304,4744 . The biggest common factor number is the GCF number.
So the greatest common factor 6304,4744 is 8.
Lets's calculate LCM of 275,145
| 5 | 275, 145 |
| 55, 29 |
∴ So the LCM of the given numbers is 5 x 55 x 29 = 7975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/7975
Therefore, the GCF of Fractions 6304/275,4744/145 is 8/7975
Least Common Multiple of 275,145 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 275,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(275,145) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(275,145) x common factors =5 x 1 = 5
LCM(275,145) = ( 275 × 145 ) / 5
LCM(275,145) = 39875 / 5
LCM(275,145) = 7975
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FAQs on GCF of Fractions of 6304/275, 4744/145
1. What is the HCF of 6304,4744?
The HCF of 6304,4744 is 8
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 6304/275, 4744/145?
Answer: GCF of Numerators as per given numbers 6304/275, 4744/145 is
GCF of Numerators i.e. for 6304,4744 is 8
LCM of denominators i.e. for 275,145 is 7975.
Thus, GCF of Fractions is 8/7975.Finally, GCF of Fractions for 6304/275, 4744/145 is 8/7975.