GCF of 7557/354, 5483/1150
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7557/354, 5483/1150 i.e 1/203550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7557/354, 5483/1150.
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 7557/354,5483/1150?
Given fractions are 7557/354,5483/1150
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 7557/354,5483/1150, numerators are 7557,5483
Denominators are 354,1150
The GCF of 7557,5483 is 1 .
LCM of 354,1150 is 203550.
The greatest common factor of 7557/354,5483/1150 = [GCF of 7557,5483]/[LCM of 354,1150]= 1/203550
Therefore, the GCF of 7557/354,5483/1150 is 1/203550.
To find the highest common factor of 7557,5483, we have to find the factors of both numbers and list the highest common factor.
The factors of 7557 are 1, 3, 11, 33, 229, 687, 2519, 7557
The factors of 5483 are 1, 5483
The HCF of 7557,5483 is 1.
Lets's calculate GCF of 7557,5483
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7557,5483 By Matching Biggest Common Factor Method
Now, list down the factors of 7557
:1,3,11,33,229,687,2519,7557
Now, list down the factors of 5483
:1,5483
Greatest Common Factor
We found the factors 7557,5483 . The biggest common factor number is the GCF number.
So the greatest common factor 7557,5483 is 1.
Lets's calculate LCM of 354,1150
| 2 | 354, 1150 |
| 177, 575 |
∴ So the LCM of the given numbers is 2 x 177 x 575 = 203550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/203550
Therefore, the GCF of Fractions 7557/354,5483/1150 is 1/203550
Least Common Multiple of 354,1150 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 354,1150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,1150) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(354,1150) x common factors =2 x 1 = 2
LCM(354,1150) = ( 354 × 1150 ) / 2
LCM(354,1150) = 407100 / 2
LCM(354,1150) = 203550
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FAQs on GCF of Fractions of 7557/354, 5483/1150
1. What is the HCF of 7557,5483?
The HCF of 7557,5483 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 7557/354, 5483/1150?
Answer: GCF of Numerators as per given numbers 7557/354, 5483/1150 is
GCF of Numerators i.e. for 7557,5483 is 1
LCM of denominators i.e. for 354,1150 is 203550.
Thus, GCF of Fractions is 1/203550.Finally, GCF of Fractions for 7557/354, 5483/1150 is 1/203550.