GCF of 4558/305, 3551/9519
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4558/305, 3551/9519 i.e 53/2903295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4558/305, 3551/9519.
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 4558/305,3551/9519?
Given fractions are 4558/305,3551/9519
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 4558/305,3551/9519, numerators are 4558,3551
Denominators are 305,9519
The GCF of 4558,3551 is 53 .
LCM of 305,9519 is 2903295.
The greatest common factor of 4558/305,3551/9519 = [GCF of 4558,3551]/[LCM of 305,9519]= 53/2903295
Therefore, the GCF of 4558/305,3551/9519 is 53/2903295.
To find the highest common factor of 4558,3551, we have to find the factors of both numbers and list the highest common factor.
The factors of 4558 are 1, 2, 43, 53, 86, 106, 2279, 4558
The factors of 3551 are 1, 53, 67, 3551
The HCF of 4558,3551 is 53.
Lets's calculate GCF of 4558,3551
| 53 | 4558, 3551 |
| 86, 67 |
∴ So the GCF of the given numbers is 53 = 53
Greatest Common Factor of 4558,3551 By Matching Biggest Common Factor Method
Now, list down the factors of 4558
:1,2,43,53,86,106,2279,4558
Now, list down the factors of 3551
:1,53,67,3551
Greatest Common Factor
We found the factors 4558,3551 . The biggest common factor number is the GCF number.
So the greatest common factor 4558,3551 is 53.
Lets's calculate LCM of 305,9519
Given numbers has no common factors except 1. So, there LCM is their product i.e 2903295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/2903295
Therefore, the GCF of Fractions 4558/305,3551/9519 is 53/2903295
Least Common Multiple of 305,9519 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 305,9519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,9519) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,9519) x common factors =1 x 1 = 1
LCM(305,9519) = ( 305 × 9519 ) / 1
LCM(305,9519) = 2903295 / 1
LCM(305,9519) = 2903295
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FAQs on GCF of Fractions of 4558/305, 3551/9519
1. What is the HCF of 4558,3551?
The HCF of 4558,3551 is 53
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 4558/305, 3551/9519?
Answer: GCF of Numerators as per given numbers 4558/305, 3551/9519 is
GCF of Numerators i.e. for 4558,3551 is 53
LCM of denominators i.e. for 305,9519 is 2903295.
Thus, GCF of Fractions is 53/2903295.Finally, GCF of Fractions for 4558/305, 3551/9519 is 53/2903295.