GCF of 9555/490, 7357/458
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9555/490, 7357/458 i.e 7/112210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9555/490, 7357/458.
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 9555/490,7357/458?
Given fractions are 9555/490,7357/458
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 9555/490,7357/458, numerators are 9555,7357
Denominators are 490,458
The GCF of 9555,7357 is 7 .
LCM of 490,458 is 112210.
The greatest common factor of 9555/490,7357/458 = [GCF of 9555,7357]/[LCM of 490,458]= 7/112210
Therefore, the GCF of 9555/490,7357/458 is 7/112210.
To find the highest common factor of 9555,7357, we have to find the factors of both numbers and list the highest common factor.
The factors of 9555 are 1, 3, 5, 7, 13, 15, 21, 35, 39, 49, 65, 91, 105, 147, 195, 245, 273, 455, 637, 735, 1365, 1911, 3185, 9555
The factors of 7357 are 1, 7, 1051, 7357
The HCF of 9555,7357 is 7.
Lets's calculate GCF of 9555,7357
| 7 | 9555, 7357 |
| 1365, 1051 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9555,7357 By Matching Biggest Common Factor Method
Now, list down the factors of 9555
:1,3,5,7,13,15,21,35,39,49,65,91,105,147,195,245,273,455,637,735,1365,1911,3185,9555
Now, list down the factors of 7357
:1,7,1051,7357
Greatest Common Factor
We found the factors 9555,7357 . The biggest common factor number is the GCF number.
So the greatest common factor 9555,7357 is 7.
Lets's calculate LCM of 490,458
| 2 | 490, 458 |
| 245, 229 |
∴ So the LCM of the given numbers is 2 x 245 x 229 = 112210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/112210
Therefore, the GCF of Fractions 9555/490,7357/458 is 7/112210
Least Common Multiple of 490,458 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 490,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,458) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(490,458) x common factors =2 x 1 = 2
LCM(490,458) = ( 490 × 458 ) / 2
LCM(490,458) = 224420 / 2
LCM(490,458) = 112210
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FAQs on GCF of Fractions of 9555/490, 7357/458
1. What is the HCF of 9555,7357?
The HCF of 9555,7357 is 7
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 9555/490, 7357/458?
Answer: GCF of Numerators as per given numbers 9555/490, 7357/458 is
GCF of Numerators i.e. for 9555,7357 is 7
LCM of denominators i.e. for 490,458 is 112210.
Thus, GCF of Fractions is 7/112210.Finally, GCF of Fractions for 9555/490, 7357/458 is 7/112210.