GCF of 9403/275, 7546/6415
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9403/275, 7546/6415 i.e 1/352825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9403/275, 7546/6415.
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 9403/275,7546/6415?
Given fractions are 9403/275,7546/6415
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 9403/275,7546/6415, numerators are 9403,7546
Denominators are 275,6415
The GCF of 9403,7546 is 1 .
LCM of 275,6415 is 352825.
The greatest common factor of 9403/275,7546/6415 = [GCF of 9403,7546]/[LCM of 275,6415]= 1/352825
Therefore, the GCF of 9403/275,7546/6415 is 1/352825.
To find the highest common factor of 9403,7546, we have to find the factors of both numbers and list the highest common factor.
The factors of 9403 are 1, 9403
The factors of 7546 are 1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 343, 539, 686, 1078, 3773, 7546
The HCF of 9403,7546 is 1.
Lets's calculate GCF of 9403,7546
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9403,7546 By Matching Biggest Common Factor Method
Now, list down the factors of 9403
:1,9403
Now, list down the factors of 7546
:1,2,7,11,14,22,49,77,98,154,343,539,686,1078,3773,7546
Greatest Common Factor
We found the factors 9403,7546 . The biggest common factor number is the GCF number.
So the greatest common factor 9403,7546 is 1.
Lets's calculate LCM of 275,6415
| 5 | 275, 6415 |
| 55, 1283 |
∴ So the LCM of the given numbers is 5 x 55 x 1283 = 352825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/352825
Therefore, the GCF of Fractions 9403/275,7546/6415 is 1/352825
Least Common Multiple of 275,6415 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 275,6415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(275,6415) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(275,6415) x common factors =5 x 1 = 5
LCM(275,6415) = ( 275 × 6415 ) / 5
LCM(275,6415) = 1764125 / 5
LCM(275,6415) = 352825
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FAQs on GCF of Fractions of 9403/275, 7546/6415
1. What is the HCF of 9403,7546?
The HCF of 9403,7546 is 1
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 9403/275, 7546/6415?
Answer: GCF of Numerators as per given numbers 9403/275, 7546/6415 is
GCF of Numerators i.e. for 9403,7546 is 1
LCM of denominators i.e. for 275,6415 is 352825.
Thus, GCF of Fractions is 1/352825.Finally, GCF of Fractions for 9403/275, 7546/6415 is 1/352825.