GCF of 4275/296, 1494/590
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4275/296, 1494/590 i.e 9/87320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4275/296, 1494/590.
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 4275/296,1494/590?
Given fractions are 4275/296,1494/590
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 4275/296,1494/590, numerators are 4275,1494
Denominators are 296,590
The GCF of 4275,1494 is 9 .
LCM of 296,590 is 87320.
The greatest common factor of 4275/296,1494/590 = [GCF of 4275,1494]/[LCM of 296,590]= 9/87320
Therefore, the GCF of 4275/296,1494/590 is 9/87320.
To find the highest common factor of 4275,1494, we have to find the factors of both numbers and list the highest common factor.
The factors of 4275 are 1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425, 4275
The factors of 1494 are 1, 2, 3, 6, 9, 18, 83, 166, 249, 498, 747, 1494
The HCF of 4275,1494 is 9.
Lets's calculate GCF of 4275,1494
| 3 | 4275, 1494 |
| 3 | 1425, 498 |
| 475, 166 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 4275,1494 By Matching Biggest Common Factor Method
Now, list down the factors of 4275
:1,3,5,9,15,19,25,45,57,75,95,171,225,285,475,855,1425,4275
Now, list down the factors of 1494
:1,2,3,6,9,18,83,166,249,498,747,1494
Greatest Common Factor
We found the factors 4275,1494 . The biggest common factor number is the GCF number.
So the greatest common factor 4275,1494 is 9.
Lets's calculate LCM of 296,590
| 2 | 296, 590 |
| 148, 295 |
∴ So the LCM of the given numbers is 2 x 148 x 295 = 87320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/87320
Therefore, the GCF of Fractions 4275/296,1494/590 is 9/87320
Least Common Multiple of 296,590 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 296,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,590) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(296,590) x common factors =2 x 1 = 2
LCM(296,590) = ( 296 × 590 ) / 2
LCM(296,590) = 174640 / 2
LCM(296,590) = 87320
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FAQs on GCF of Fractions of 4275/296, 1494/590
1. What is the HCF of 4275,1494?
The HCF of 4275,1494 is 9
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 4275/296, 1494/590?
Answer: GCF of Numerators as per given numbers 4275/296, 1494/590 is
GCF of Numerators i.e. for 4275,1494 is 9
LCM of denominators i.e. for 296,590 is 87320.
Thus, GCF of Fractions is 9/87320.Finally, GCF of Fractions for 4275/296, 1494/590 is 9/87320.