GCF of 7467/958, 5610/248
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7467/958, 5610/248 i.e 3/118792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7467/958, 5610/248.
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 7467/958,5610/248?
Given fractions are 7467/958,5610/248
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 7467/958,5610/248, numerators are 7467,5610
Denominators are 958,248
The GCF of 7467,5610 is 3 .
LCM of 958,248 is 118792.
The greatest common factor of 7467/958,5610/248 = [GCF of 7467,5610]/[LCM of 958,248]= 3/118792
Therefore, the GCF of 7467/958,5610/248 is 3/118792.
To find the highest common factor of 7467,5610, we have to find the factors of both numbers and list the highest common factor.
The factors of 7467 are 1, 3, 19, 57, 131, 393, 2489, 7467
The factors of 5610 are 1, 2, 3, 5, 6, 10, 11, 15, 17, 22, 30, 33, 34, 51, 55, 66, 85, 102, 110, 165, 170, 187, 255, 330, 374, 510, 561, 935, 1122, 1870, 2805, 5610
The HCF of 7467,5610 is 3.
Lets's calculate GCF of 7467,5610
| 3 | 7467, 5610 |
| 2489, 1870 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7467,5610 By Matching Biggest Common Factor Method
Now, list down the factors of 7467
:1,3,19,57,131,393,2489,7467
Now, list down the factors of 5610
:1,2,3,5,6,10,11,15,17,22,30,33,34,51,55,66,85,102,110,165,170,187,255,330,374,510,561,935,1122,1870,2805,5610
Greatest Common Factor
We found the factors 7467,5610 . The biggest common factor number is the GCF number.
So the greatest common factor 7467,5610 is 3.
Lets's calculate LCM of 958,248
| 2 | 958, 248 |
| 479, 124 |
∴ So the LCM of the given numbers is 2 x 479 x 124 = 118792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/118792
Therefore, the GCF of Fractions 7467/958,5610/248 is 3/118792
Least Common Multiple of 958,248 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 958,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(958,248) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(958,248) x common factors =2 x 1 = 2
LCM(958,248) = ( 958 × 248 ) / 2
LCM(958,248) = 237584 / 2
LCM(958,248) = 118792
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FAQs on GCF of Fractions of 7467/958, 5610/248
1. What is the HCF of 7467,5610?
The HCF of 7467,5610 is 3
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 7467/958, 5610/248?
Answer: GCF of Numerators as per given numbers 7467/958, 5610/248 is
GCF of Numerators i.e. for 7467,5610 is 3
LCM of denominators i.e. for 958,248 is 118792.
Thus, GCF of Fractions is 3/118792.Finally, GCF of Fractions for 7467/958, 5610/248 is 3/118792.